Dr. Sunil Dutt Purohit

Faculty Profile

Dr. Sunil Dutt Purohit
Designation	Associate Professor
Qualifications	M.Sc. (Mathematics), Ph.D.
Contact Detail	Dept. of HEAS (Mathematics), RTU
Email	[email protected]
Research Gate Page	https://www.researchgate.net/profile/Sunil_Purohit2
Google Scholar Page	https://scholar.google.com/citations?hl=hi&user=xuIWCgEAAAAJ
Phone No.

Research Interests

Fractional Calculus, Special Functions, Integral Transforms, q-Hypergeometric Functions, Geometric Function Theory, Mathematical Modeling

Brief Research Profile

Journal Publication Details:

1. A.M. Mishra, S.D. Purohit, K.M. Owolabi and Y.D. Sharma: A nonlinear epidemiological model considering asymptotic and quarantine classes for SARS CoV-2 virus, Chaos Solitons Fractals, 138 (2020) 109953.

2. S.D. Purohit, A.K. Rathie and H.V. Harsh: A note on some new -transforms of generalized hypergeometric functions, TWMS J. App. & Eng. Math. 10(3) 2020, 761-768.

3. D. Kumar, F.Y. Ayant, S.D. Purohit, and F. Uçar: On Partial Derivatives of the I-function of r-variables, Azerb. J. Math. 10(2) (2020), 49-61.

4. A.M. Mishra, M. Bohra, S.D. Purohit, D. Kumar and J. Singh: Integrals involving generalized multi-index Bessel functions and general class of polynomials, Math. Eng. Sci. Aerosp. MESA, 11(2) (2020), 415-424.

5. D.L. Suthar, Mengesha Ayene, Nigussie Abeye and S.D. Purohit: Modified Saigo integral operator associated with Aleph-function, Math. Eng. Sci. Aerosp. MESA, 11(2) (2020), 381-389.

6. Durmus Albayrak, Sunil Dutt Purohit and Faruk Ucar: On q-Laplace and q-Sumudu transforms of a product of generalized q-Bessel functions, Math. Eng. Sci. Aerosp. MESA, 11(2) (2020), 355-369.

7. K.S. Nisar, D.L. Suthar, S.D. Purohit, H. Amsalu: Unified integrals involving product of multivariable polynomials and generalized Bessel functions, Bol. Soc. Parana. Mat. (3S) 38(6) (2020), 73-83.

8. K. Jangid, S. Bhatter, S. Meena, D. Baleanu, Maysaa Al Qurashi and S.D. Purohit: Some fractional calculus findings associated with the incomplete I-functions, Adv. Differ Equ. 2020 (2020): 265.

9. K.S. Nisar, D.L. Suthar, R. Agarwal and S.D. Purohit: Fractional calculus operators with Appell function kernels applied to Srivastava polynomials and extended Mittag-Leffler function, Adv. Differ Equ. 2020 (2020): 148.

10. S.D. Purohit, N. Jolly, M.K. Bansal, Jagdev Singh and Devendra Kumar: Chebyshev type inequalities involving the fractional integral operator containing multi-index Mittag-Lefﬂer function in the kernel. Appl. Appl. Math. Spec. Issue 6(2020), 29-38.

11. Ritu Agarwal, G.S. Paliwal and S.D. Purohit: Geometric properties for an unified class of functions characterized using fractional Ruscheweyh-Goyal derivative operator, Science & Technology Asia, 25(1) (2020), 72-84.

12. K.S. Gehlot, S.D. Purohit and J.B. Sharma: Addition theorem and certain properties of k-Bessel function, TWMS J. App. & Eng. Math. 10(1) (2020), 95-101.

13. D.L. Suthar, D. Baleanu, S.D. Purohit and F. Ucar: Certain k-fractional calculus operators and image formulas of k-Struve function. AIMS Mathematics, 5(3) (2020) 1706-1719.

14. D.L. Suthar, A.M. Khan, A. Alaria, S.D. Purohit, J. Singh: Extended Bessel-Maitland function and its properties pertaining to integral transforms and fractional calculus, AIMS Mathematics, 5(2) (2020), 1400–1410.

15. Ritu Agarwal, M.P. Yadav, D. Baleanu, S.D. Purohit: Existence and uniqueness of miscible flow equation through porous media with a nonsingular fractional derivative, AIMS Mathematics, 5(2) (2020), 1062–1073.

16. A.M. Mishra, D. Kumar and S.D. Purohit: Unified integral inequalities comprising pathway operators, AIMS Mathematics, 5(1) (2020), 399-407.

17. V.K. Vyas, Ali A. Al-Jarrah and S.D. Purohit: q-Sumudu transforms of product of generalized basic hypergeometric functions and their applications, Appl. Appl. Math. 14(2) (2019), 1099-1111.

18. Ritu Agarwal, Kritika and S.D. Purohit: A mathematical fractional model with non-singular kernel for thrombin-receptor activation in calcium signaling, Math. Methods Appl. Sci. 42(2019), 7160–7171.

19. N.S. Solanki, Shoukat Ali and S.D. Purohit: Certain generating functions involving extended generalized hypergeometric functions, Malaya J. Mat. S (1) (2019), 606-609.

20. A.M. Mishra, Dumitru Baleanu, Fairouz Tchier and S.D. Purohit: Certain results comprising the weighted Chebyshev functional using Pathway fractional integrals. Mathematics 7(10) (2019), 896.

21. R.K. Gupta, A. Atangana, B.S. Shaktawat, S.D. Purohit: On the solution of generalized fractional kinetic equations involving generalized M-series, Caspian Journal of Applied Mathematics, Ecology and Economics, 7(1) (2019), 88-98.

22. S. Joshi, E. Mittal, R.M. Pandey and S.D. Purohit: Some Gruss type inequalities involving generalized fractional integral operator, Bull. Transilv. Univ. Braşov, Ser. III, Math. Inform. Phys. 12(61) 1 (2019), 41-52.

23. K.S. Nisar , D.L. Suthar, M. Bohra and S.D. Purohit: Generalized fractional integral operators pertaining to the product of Srivastava’s polynomials and generalized Mathieu series, Mathematics 7(2) (2019), 206.

24. D. Kumar, J. Singh, S.D. Purohit and R. Swroop: A hybrid analytic algorithm for nonlinear wave-like equations, Math. Model. Nat. Phenom. 14 (2019) 304.

25. J. Choi, R. K. Parmar and S.D. Purohit: Further generalization of the extended Hurwitz-Lerch Zeta functions, Bol. Soc. Parana. Mat. (3S) 37(1) (2019), 177-190.

26. R. K. Parmar and S.D. Purohit: Some generating functions and properties of extended second Appell function, Bol. Soc. Parana. Mat. (3S) 37(1) (2019), 169-176.

27. S.K.Q. Al-Omari, D. Baleanu and S.D. Purohit: Some results for Laplace-type integral operator in quantum calculus, Adv. Difference Equ. (2018), 2018:124.

28. S.D. Purohit and F. Ucar: An application of q-Sumudu transform for fractional q-kinetic equation, Turkish J. Math. 42 (2018), 726-734.

29. D.L. Suthar, S.D. Purohit and K.S. Nisar: Integral transforms of the Galue type Struve function, TWMS J. App. & Eng. Math. 8(1) (2018), 114-121.

30. R.K. Saxena, S.D. Purohit and Dinesh Kumar: Integral inequalities associated with Gauss hypergeometric function fractional integral operator, Proc. Nat. Acad. Sci., India Sect. A Phys. Sci. 88(1) (2018), 27–31.

31. K.A. Selvakumaran, Huda A. Al-Kharsani, D. Baleanu, S.D. Purohit and K.S. Nisar: Inclusion relationships for some subclasses of analytic functions associated with generalized Bessel functions, J. Comput. Anal. Appl. 24(1) (2018), 81-90.

32. D.L. Suthar, S.D. Purohit, K.S. Nisar: Certain integrals associated with generalized hypergeometric functions, Acta Univ. Apulensis 55 (2018), 105-112.

33. N. Menaria, R.K. Parmar, S.D. Purohit_and K.S. Nisar: Certain unified integrals involving product of generalized k-Bessel function and general class of polynomials, Honam Mathematical J. 39(3) (2017), 349-361.

34. D.L. Suthar, S.D. Purohit, R.K. Parmar, Generalized fractional calculus of the multiindex Bessel function, Math. Nat. Sci. 1 (2017), 26–32.

35. D.L. Suthar, S.D. Purohit and S. Agarwal: Class of integrals involving generalized hypergeometric function and Srivastava’s polynomials, Int. J. Appl. Comput. Math. 3 (Suppl 1) (2017), S1197–S1203.

36. G. Rahman, D. Baleanu, M. Al Qurashi, S.D. Purohit, S. Mubeen and M. Arshad: The extended Mittag-Leffler function via fractional calculus, J. Nonlinear Sci. Appl. 10(8) (2017), 4244–4253.

37. R. K. Parmar and S.D. Purohit: Certain integral transforms and fractional integral formulas for the extended hypergeometric functions, TWMS J. App. & Eng. Math. 7(1) (2017), 74-81.

38. K.S. Nisar, D.L. Suthar, S.D. Purohit and M. Al-Dhaifallah: Some unified integrals associated with generalized Struve function, Proc. Jangjeon Math. Soc. 20(2) (2017), 261-267.

39. V.N. Mishra, D.L. Suthar and S.D. Purohit: Marichev-Saigo-Maeda fractional calculus operators, Srivastava polynomials and generalized Mittag-Leffler function, Cogent Math. 4(1) (2017), 1320830 (10 pp).

40. S. Abelman, K.A. Selvakumaran, M.M. Rashidi and S.D. Purohit: Subordination conditions for a class of Non-Bazilevivc type defined by using fractional q-calculus operators, Facta Univ., Ser. Math. Inf. 32(2) (2017), 255-267.

41. N. Menaria, F. Ucar and S.D. Purohit: Certain new integral inequalities involving Erdelyi-Kober operators, Prog. Fract. Diff. Appl. 3(2) (2017), 1-7.

42. D.L. Suthar, R.K. Parmar and S.D. Purohit: Fractional calculus with complex order and generalized hypergeometric functions, Nonlinear Sci. Lett. A 8(2) (2017), 156-161.

43. J.B. Sharma, K.K. Sharma, A. Atangana and S.D. Purohit: Hybrid watermarking algorithm using finite radon and fractional Fourier transform, Fundam. Inform. 151 (2017), 523-543.

44. G. Murugusundaramoorthy, T. Janani and S.D. Purohit: Coefficient estimate of bi-Bazileviuc functions associated with fractional q-calculus operators, Fundam. Inform.151 (2017), 49–62.

45. G. Rahman, A. Ghaffar, S.D. Purohit, S. Mubeen and M. Arshad, On the hypergeometric matrix k-functions, Bull. Math. Anal. Appl. 8(4) (2016), 98-111.

46. N. Menaria, S.D. Purohit and Dinesh Kumar: On fractional integral inequalities involving the Saigo’s fractional integral operators, J. Sci. Arts 4 (37) (2016), 289-294.

47. J. Choi, K.B. Kachhia, J.C. Prajapati and S.D. Purohit: Some integral transforms involving extended generalized Gauss hypergeometric functions, Commun. Korean Math. Soc. 31(4) (2016), 779-790.

48. S. Mubeen, S.D. Purohit, M. Arshad and G. Rahman: Extension of k-gamma, k-beta functions and k-beta distribution, J. Math. Anal.7(5) (2016), 118-131.

49. M. Al-Dhaifallah, M. Tomar, K.S. Nisar and S.D. Purohit: Some new inequalities for (k,s)-fractional integrals, J. Nonlinear Sci. Appl. 9 (9) (2016), 5374-5381.

50. R.K. Parmar, D. Baleanu and S.D. Purohit: A class of generating functions involving extended Appell hypergeometric function, Anal. Univ. Oradea, Fasc. Math. 23(2) (2016), 69-73.

51. R.K. Parmar and S.D. Purohit: On a new class of integrals involving generalized hypergeometric function, Int. Bull. Math. Res., IBMR3(2) (2016), 24-27.

52. N. Menaria, K. S. Nisar and S.D. Purohit: On a new class of integrals involving product of generalized Bessel function of first kind and general class of polynomials, Acta Univ. Apulensis, Math. Inform. 46 (2016), 97-105.

53. K.S. Nisar, S.D. Purohit, M. Abouzaid, M. Al Qurashi and D. Baleanu: Generalized k-MittagLeffler function and its composition with Pathway integral operators, J. Nonlinear Sci. Appl. 9 (6) (2016), 3519-3526.

54. D. Baleanu, D. Kumar and S.D. Purohit: Generalized fractional integrals of product of two H-functions and a general class of polynomials, Int. J. Comput. Math. 93(8) (2016), 1320-1329.

55. N.Menaria, D. Baleanu and S.D. Purohit: Integral formulas involving product of general class of polynomials and generalized Bessel function, Sohag J. Math. 3(2) (2016), 77-81.

56. K.S. Nisar, S.D. Purohit and Saiful. R. Mondal: Generalized fractional kinetic equations involving generalized Struve function of the first Kind, Journal of King Saud University-Science 28(2) (2016), 167-171.

57. Junesang Choi, Dinesh Kumar and S.D. Purohit: Integral formulas involving a product of generalized Bessel functions of the first kind, Kyungpook Math. J. 56 (1) (2016), 131-136.

58. Min-JieLuo, S.D. Purohit and R. K. Raina: q-Analogues of Sofo’s series involving reciprocals of binomial coefficients, Anal. Univ. Oradea, Fasc. Math. 23 (1) (2016), 11-20.

59. D. Baleanu, S.D. Purohit and Jyotindra C. Prajapati: Integral inequalities involving generalized Erdelyi-Kober fractional integral operators, Open Math. 14 (2016), 89-99.

60. H.V. Harsh, A.K. Rathie and S.D. Purohit: On basic analogue of classical summation theorems due to Andrews, Honam Mathematical J. 38(1) (2016), 25-37.

61. K.S. Gehlot and S.D. Purohit: Integral representations of the k-Bessel’s function, Honam Mathematical J. 38(1) (2016), 17-23.

62. Naresh Menaria, S.D. Purohit and Rakesh K. Parmar: On a new class of integrals involving generalized Mittag-Leffler function, Surv. Math. Appl. 11 (2016), 1-9.

63. D. Kumar, S.D. Purohit, J. Choi: Generalized fractional integrals involving product of multivariable H-function and a general class of polynomials, J. Nonlinear Sci. Appl. 9 (1) (2016), 8-21.

64. R.K. Parmar, S.D. Purohit, K.S. Nisar and M. Aldaifallah, On a generating function involving generalized second Appell function, J. Sci. Arts 3 (32) (2015), 225-228.

65. S.D. Purohit and K.A. Selvakumaran: On certain generalized q-integral operators of analytic functions, B. Korean Math. Soc. 52(6) (2015), 1805-1818.

66. H.M. Srivastava, K.A. Selvakumaran and S.D. Purohit: Inclusion properties for certain subclasses of analytic functions defined by using the generalized Bessel functions, Malaya J. Mat. 3 (3) (2015), 360-367.

67. J.C. Prajapati, K.B. Kachhia and S.D. Purohit: Certain properties of modified Laguerre polynomials via Lie Algebra, Math. Sci. Lett. 4(2) (2015), 141-143.

68. D. Baleanu, S.D. Purohit and F. Ucar: On Gruss type integral inequality involving the Saigo’s fractional integral operators, J. Comput. Anal. Appl. 19(3) (2015), 480-489.

69. S.L. Kalla, R.K. Parmar and S.D. Purohit, Some extensions of Lauricella functions of several variables, Commun. Korean Math. Soc. 30(3) (2015), 239-252.

70. R.K. Parmar, S.D. Purohit and M.K. Joshi, Some properties of the generalized complete and incomplete Beta functions, J. Sci. Arts 2 (31) (2015), 151-156.

71. Junesang Choi and S.D. Purohit, A Gruss type integral inequality associated with Gauss hypergeometric function fractional integral operator, Commun. Korean Math. Soc. 30(2) (2015), 81–92.

72. S.D. Purohit and R.K. Raina: On a subclass of p-valent analytic functions involving fractional q-calculus operators, Kuwait J. Sci. 42(1) (2015), 1-15.

73. D. Kumar, S. D. Purohit, A. Secer, and A. Atangana: On generalized fractional kinetic equations involving generalized Bessel function of the first kind, Math. Probl. Eng.2015 (2015), Article ID 289387, 7 pp.

74. R.K. Parmar, S.D Purohit, N.S. Solanki: On the generalization of incomplete extended Beta function, Int. Bull. Math. Res., IBMR, 1(1) (2014), 1-7.

75. D. Albayrak, F. Ucar and S.D. Purohit: Certain inversion and representation formulas for q-Sumudu transforms, Hacet. J. Math. Stat. 43 (5) (2014), 699-713.

76. D.L. Suthar and S.D. Purohit: Unified fractional integral formulae for the generalized Mittag-Leffler functions, J. Sci. Arts2 (27) (2014), 117-124.

77. D. Kumar, P.Agarwal and S.D. Purohit, Generalized fractional integration of the H-function involving general class of polynomials, Walailak J. Sci. & Tech. 11 (12) (2014), 1019-1030.

78. P. Agarwal, M. Chand and S.D. Purohit: A note of generating functions involving the generalized Gauss hypergeometric functions, Nat. Academy Sci. Letters 37(5) (2014), 457-459.

79. D. Kumar and S.D. Purohit: Fractional differintegral operators of the generalized Mittag-Leffler type function, Malaya J. Mat. 2 (4) (2014), 419-425.

80. K.S. Gehlot and S.D. Purohit: Fractional calculus of k-Bessel’s functions, Acta Univ. Apulensis, Math. Inform. 38 (2014), 273-278.

81. S.D. Purohit and S.L. Kalla: Certain inequalities related to the Chebyshev’s functional involving Erdelyi-Kober operators, SCIENTIA Series A: Mathematical Sciences, 25 (2014), 55-63.

82. Secer, S.D. Purohit, K.A. Selvakumaran and Mustafa Bayram: A generalized q-Gruss inequality involving the Riemann-Liouville fractional q-integrals, J. Appl. Math. 2014 (2014), Article 914320, 6 pp.

83. S.D. Purohit, F. Ucar and R.K. Yadav: On fractional integral inequalities and their q-analogues, Revista Tecno-Científica URU 6(2014), 53-66.

84. J. Choi, P. Agarwal, S. Mathur and S.D. Purohit: Certain new integral formulas involving the generalized Bessel functions, B. Korean Math. Soc. 51(4) (2014), 995-1003.

85. S.D. Purohit and R.K. Raina: Some classes of analytic and multivalent functions associated with q-derivative operators, Acta Univ. Sapientiae, Mathematica 6(1) (2014), 5-23.

86. S.D. Purohit and R.K. Raina: Certain fractional integral inequalities involving the Gauss hypergeometric function, Rev. Téc. Ing. Univ. Zulia 37(2) (2014), 167-175.

87. K. A. Selvakumaran, S. D. Purohit and Aydin Secer: Majorization for a class of analytic functions defined by q-differentiation, Math. Probl. Eng.2014 (2014), Article 653917, 5 pp.

88. Guotao Wang, Harshvardhan Harsh, S.D. Purohit and Trilok Gupta: A note on Saigo’s fractional integral inequalities, Turkish Journal of Analysis and Number Theory, 2(2) (2014), 65-69.

89. D. Baleanu and S.D. Purohit: Chebyshev type integral inequalities involving the fractional hypergeometric operators, Abstr. Appl. Anal.2014 (2014),Article ID 609160, 10 pp.

90. S.K. Ntouyas, S.D. Purohit and J. Tariboon: Certain Chebyshev type integral inequalities involving Hadamard’s fractional operators, Abstr. Appl. Anal.2014 (2014), Article ID 249091, 7 pp.

91. K. A. Selvakumaran, S. D. Purohit, A. Secer and M. Bayram: Convexity of certain q-integral operators of p-valent functions, Abstr. Appl. Anal. 2014 (2014), Article 925902, 7 pp.

92. D. Baleanu, S.D. Purohit and P.Agarwal: On fractional integral inequalities involving hypergeometric operators, Chinese Journal of Mathematics, 2014 (2014), Article ID 609476, 5 pp.

93. N.Menaria and S.D. Purohit: On a new class of integrals involving generalized hypergeometric and Wright’s generalized hypergeometric function, Ganita Sandesh 27 (1&2) (2013), 63-68.

94. D. Baleanu, P.Agarwal and S.D. Purohit: Certain fractional integral formulas involving the product of generalized Bessel functions, The Sci. W. J. 2013, (2013), Article ID 567132, 9 pp.

95. Chouhan, S.D. Purohit and S. Srivastava, An alternative method for solving generalized differential equations of fractional order, Kragujevac J. Math. 37(2), (2013). 299-306.

96. S.D. Purohit: Solutions of fractional partial differential equations of quantum mechanics, Adv. Appl. Math. Mech. 5(5), (2013), 639-651.

97. D. Albayrak, S.D. Purohit and F. Ucar: On q-analogues of Sumudu transform, An. Stiint. Univ. “Ovidius” ConstanAta, Ser. Mat. 21(1), (2013), 239-260.

98. D. Albayrak, S.D. Purohit and F. Ucar: On q-Sumudu transforms of certain q-polynomials, Filomat 27(2), (2013), 413-429.

99. S.D. Purohit and R.K. Raina: Fractional q-calculus and certain subclasses of univalent analytic functions, Mathematica-Cluj 55(1) (2013), 62-74.

100. S.D. Purohit and R.K. Raina: Chebyshev type inequalities for the Saigo fractional integrals and their q-analogues, J. Math. Inequal. 7(2) (2013), 239-249.

101. P. Agarwal and S.D. Purohit, The unified pathway fractional integral formulae, J. Fract. Calc. Appl. 4 (1) (2013), 105-112.

102. R.K. Yadav, S. D. Purohit and V.K. Vyas: On fractional calculus of a basic analogue of the I-function, Proc. 10th Int. Conf. SSFA, 10-11 (2012), 21-29.

103. S. D. Purohit, V.K. Vyas and R.K. Yadav, Bilinear generating relations for a family of q-polynomials and generalized basic hypergeometric functions, Acta Comment. Univ. Tartu. Math. 16(2) (2012), 191-199.

104. S.D. Purohit: A new class of multivalently analytic functions associated with fractional q-calculus operators, Fractional Differ. Calc. 2(2) (2012), 129-138.

105. S.D. Purohit, D.L. Suthar and S.L. Kalla: Marichev-Saigo-Maeda fractional integration operators of the Bessel function, Le Matematiche 67 (1) (2012), 21-32.

106. D. Albayrak, S.D. Purohit and F. Ucar: On q-integral transforms and their applications, Bull. Math. Anal. Appl. 4(2) (2012), 103-115.

107. S.D. Purohit and S.L. Kalla: A generalization of q-Mittag-Leffler function, Mat. Bilt. 35 (2011), 15-26.

108. S.D. Purohit and R.K. Raina: Certain subclasses of analytic functions associated with fractional q-calculus operators, Math. Scand. 109 (1) (2011), 55-70.

109. S.D. Purohit, S.L. Kalla and D.L. Suthar: Fractional integral operators and the multiindex Mittag-Leffler function, SCIENTIA Series A: Mathematical Sciences, 21 (2011), 87-96.

110. S.D. Purohit and S.L. Kalla: On fractional partial differential equations related to quantum mechanics, J. Phys. A: Math. Theor. 44(4) (2011) 045202 (8 pp).

111. S.D. Purohit: On a q-extension of the Leibniz rule via Weyl type of q-derivative operator, Kyungpook Math. J. 50 (4) (2010), 473-482.

112. S.D. Purohit, S.L. Kalla and D.L. Suthar: Some results on fractional calculus operators associated with the M-function, Hadronic J. 33 (2010), 225-236.

113. R.K. Yadav, S.L. Kalla, S.D. Purohit and V.K. Vyas: Certain fractional q-integral formulas for the generalized basic hypergeometric functions of two variables, Journal of Inequalities Special Functions, 1 (1) (2010), 30-38.

114. S.D. Purohit and R.K. Yadav: A note on certain classes of multivariable q-series transformations, Le Matematiche 65 (1) (2010), 101-108.

115. S.D. Purohit and R. K. Raina: Generalized q-Taylor’s series and applications, Gen. Math. 18(3) (2010), 19-28.

116. S.D. Purohit and R.K. Yadav: On generalized fractional q-integral operators involving the q-Gauss hypergeometric function, Bull. Math. Anal. Appl. 2(4) (2010), 35-44.

117. R.K. Yadav, S.D. Purohit and V.K. Vyas: On transformations involving generalized basic hypergeometric functions of two variables, Rev. Téc. Ing. Univ. Zulia. 33(2) (2010), 176-182.

118. R.K. Yadav, S.D. Purohit and V.K. Vyas: On applications of q-fractional calculus operators and transformations involving generalized basic hypergeometric functions, Bull. Pure Appl. Math. 4(1) (2010), 125-132.

119. R.K. Yadav, S.D. Purohit and V.K. Vyas: On fractional q-calculus operators involving the generalized basic hypergeometric function of two variables, J. Rajasthan Acad. Phy. Sci. 9(2) (2010), 103-112.

120. S.D. Purohit and R.K. Raina: On certain operational formulae for multivariable basic hypergeometric functions, Acta Math. Univ. Comenianae 79(2) (2009), 187-195.

121. S.D. Purohit: Summation formulae for basic hypergeometric functions via q-fractional calculus, Le Matematiche, 64 (1) (2009), 67-75.

122. S.D. Purohit and S.L. Kalla: On the fractional q-calculus of a general class of q-polynomials, Algebras Groups and Geom. 26 (1) (2009), 1-13.

123. S.D. Purohit: Some recurrence relations for the generalized basic hypergeometric functions, Bull. Math. Anal. Appl. 1(1) (2009), 22-29.

124. R.K. Yadav, S.D. Purohit and Poonam Nirwan: On q-Laplace transforms of a general class of polynomials and q-hypergeometric functions, Math. Maced. 7 (2009), 81-88.

125. S.D. Purohit, R.K. Yadav, Gurpreet Kaur and S.L. Kalla: Applications of q-Leibniz rule to transformations involving generalized basic hypergeometric functions, Algebras Groups and Geom. 25 (4) (2008), 463-482.

126. S.D. Purohit, R.K. Yadav and S.L. Kalla: Certain expansion formulae involving a basic analogue of Fox’s H-function, Appl. Appl. Math. 3(1) (2008), 128-136.

127. R.K. Yadav, S.D. Purohit and S.L. Kalla: On generalized Weyl fractional q-integral operator involving generalized basic hypergeometric functions, Fract. Calc. Appl. Anal. 11(2) (2008), 129-142.

128. R.K. Yadav, S.D. Purohit and S.L. Kalla: Kober fractional q-integral of multiple basic hypergeometric functions, Algebras Groups and Geom. 24 (1) (2007), 55-74.

129. S.D. Purohit and R.K. Yadav: Multidimensional fractional q-derivatives of basic multiple hypergeometric functions, Bull. Pure Appl. Math. 1(2) (2007), 166-175.

130. S.D. Purohit and S.L. Kalla: On q-Laplace transforms of the q-Bessel functions, Fract. Calc. Appl. Anal. 10(2) (2007), 189-196.

131. S.D. Purohit and S.L. Kalla: Certain expansions involving generalized basic hypergeometric functions, Mat. Bilt. 31(LVII) (2007), 21-32.

132. R.K. Yadav and S.D. Purohit: On applications of Kober fractional q-integral operator to certain basic hypergeometric functions, J. Rajasthan Acad. Phy. Sci. 5(4) (2006), 437-448.

133. R.K. Yadav and S.D. Purohit: On fractional q-derivatives and transformations of the generalized basic hypergeometric functions, J. Indian Acad. Math. 28(2) (2006), 321-326.

134. R.K. Yadav and S.D. Purohit: On q-Laplace transforms of certain q-hypergeometric polynomials, Proc. Nat. Acad. Sci., India 76(A) III (2006), 235-242.

135. R.K. Yadav and S.D. Purohit: On applications of Weyl fractional q-integral operator to generalized basic hypergeometric functions, Kyungpook Math. J. 46(2) (2006), 235-245.

136. S.L. Kalla, R.K. Yadav and S.D. Purohit: On the Riemann-Liouville fractional q-integral operator involving a basic analogue of Fox H-function, Fract. Calc. Appl. Anal. 8(3) (2005), 313-322.

137. R.K. Yadav and S.D. Purohit: On q-Laplace transforms of certain multiple basic hypergeometric functions, The Math. Student 74 (1-4) (2005), 207-215.

138. R.K. Saxena, R.K. Yadav, S.D. Purohit and S.L. Kalla: Kober fractional q-integral operator of the basic analogue of the H-function, Rev. Téc. Ing. Univ. Zulia. 28(2) (2005), 154-158.

139. R.K. Yadav and S.D. Purohit: On q-Laplace transforms of certain generalized basic hypergeometric functions, Proc. 5^th Int. Conf. SSFA, 5 (2004), 74-81.

140. R.K. Yadav and S.D. Purohit: Applications of Riemann-Liouville fractional q-integral operator to basic hypergeometric functions, Acta Ciencia Indica 30(3) (2004), 593-600.

141. R.K. Yadav and S.D. Purohit: Fractional q-derivatives and certain basic hypergeometric transformations, S.E.A.J. Math. And Math. Sc. 2(2) (2004), 37-46.

Conference Details:

International Conferences:

1. International Congress of Industrial & Applied Mathematicians (ICIAM-2019), Valencia, Spain during July 15-19, 2019.

2. International Congress of Mathematicians (ICM-2018), Rio Centro, Rio De Janerio, Brazil during August 1-9, 2018.

3. International Congress of Mathematicians (ICM-2014), Coex, Seoul, South Korea during August 13-21, 2014.

4. International workshop on Special Functions and Applications, King Saud University, Riyadh, Saudi Arabia during Feb. 20-21, 2013.

National Conferences:

1. 1st Indian-Greater Mekong Sub-Region International Conference (1st IGMSIC) 2018, on the theme “Emerging Trends in Social Sciences and Management”, Fr. Agnel College, Pilar (FAS), at Sanskriti Bhavan, Directorate of Art & Culture, Panaji-Goa during November 15-16, 2018.

2. 24th International Conference on Finite or Infinite Dimensional Complex Analysis and Applications (24 ICFIDCAA2016), Anand International College of Engineering, Jaipur during August 22-26, 2016.

3. International Conference on Mathematical Sciences, CMS, Pala, Kerala, India during January 3-5, 2011.

4. International Congress of Mathematicians (ICM-2010), HICC, Hyderabad, India during August 19-27, 2010.

Seminar/Symposia/Workshop/Conference/STC Organized:

Ongoing Project:

Professional Affiliation:

1. Life Member, Indian Mathematical Society (IMS)

2. Life Member, Indian Science Congress Association, (ISCA)

3. Life Member, Indian Academy of Mathematics, (IAM)

4. Life Member, Society for Special Functions and their Applications (SSFA)

5. Life Member, Rajasthan Ganita Parishad (RGP)

6. Life Member, Forum for Advanced Training Education & Research (FATER)

7. Member, American Mathematical Society (AMS)

8. Member, International Association of Engineers (IAENG)

9. Member, IAENG Society of Computer Science

10. Member, IAENG Society of Scientific Computing

11. Since October 2008, Reviewer for Mathematical Reviews, USA (American Mathematical Society)

12. Since August 2010, Reviewer for Zentralblatt MATH, Berlin

13. Acting as a referee for number of the reputed Indian and foreign journals

Books/ Book Chapter Published:

1. “Mathematical Modelling, Applied Analysis and Computation” (with J. Singh, D. Kumar, H. Dutta and D. Baleanu), Springer Proceedings in Mathematics & Statistics, ICMMAAC 2018, Jaipur, India, July 6–8. (ISBN: 978-981-13-9607-6)

2. K.S. Nisar, S.D. Purohit, D.L. Suthar and J. Singh, Fractional order integration and certain integrals of generalized multiindex Bessel function, Springer Proceedings in Mathematics & Statistics “Mathematical Modelling, Applied Analysis and Computation” Ed. J. Singh et al., 272 (2019), 155-167.

3. “Engineering Mathematics-III (CS/IT)” (with Prof. Babu Ram), Pearson Education, India. (ISBN: 978-81-317-6160-1)

4. “Engineering Mathematics-II” (with Dr. A.K. Malik and Dr. Priya Mathur), Manakin Press, India. (ISBN: 978-93-88342-19-3)

5. “Engineering Mathematics-I” (with Dr. A.K. Malik and Dr. Priya Mathur), Manakin Press, India. (ISBN: 978-93-89296-40-2)

6. “Basic Mathematics” (with Mr. Vimal Kr. Sarshwat), Himanshu Publication, Udaipur-Delhi. (ISBN: 978-81-7906-150-3)

Research Supervised:

Achievements

1. Awarded Travel Grants to attend ICIAM 2019 at Valencia, Spain.

2. Awarded Open Arm Travel Grants to attend ICM 2018 at Rio De Janerio, Brazil.

3. Awarded NANUM 2014 Travel Grants to attend ICM 2014 at Seoul, South Korea.

4. "A.K. Agarwal Best Publication Prize 2013" of Society for Special Functions and their Applications (SSFA).

5. Awarded Travel Grants to attend ICM 2010 at Hyderabad, India.

6. Awarded Senior Research Fellowship of Council of Scientific and Industrial Research from Jan. 2005 to March 2006.

7. Awarded Junior Research Fellowship of Council of Scientific and Industrial Research for two years during Jan. 2003 to Dec. 2004.

8. Awarded University Gold Medal for being topper in M.Sc. Mathematics (2001).