Fractional calculus pertaining to multivariable I-function defined by Prathima

F. Y. Ayant, An integral associated with the Aleph-functions of several variables, Int. J. Math. Trends Tech. 31(3) (2016), 142–154.10.14445/22315373/IJMTT-V31P522Search in Google Scholar

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), 1320–1329.10.1080/00207160.2015.1045886Search in Google Scholar

B.L.J. Braaksma, Asymptotic expansions and analytic continuations for a class of Barnes integrals, Compos. Math. 15 (1964), 239–341.Search in Google Scholar

V.B.L. Chaurasia and A. Srivastava, A unified approach to fractional calculus pertaining to H-functions, Soochow J. Math. 33(2) (2007), 211–221.Search in Google Scholar

J. Choi, J. Daiya, D. Kumar and R. K. Saxena, Fractional differentiation of the product of Appell function F₃ and multivariable H-function, Commun. Korean Math. Soc., 31(1) (2016), 115–129.10.4134/CKMS.2016.31.1.115Search in Google Scholar

J. Daiya, J. Ram and D. Kumar, The multivariable H-function and the general class of Srivastava polynomials involving the generalized Mellin-Barnes contour integrals, FILOMAT 30(6) (2016), 1457–1464.10.2298/FIL1606457DSearch in Google Scholar

A. Erdélyi, On some functional transformations, Univ. Politec. Torino, Rend. Sem. Mat. 10 (1950-51), 217-234.Search in Google Scholar

D. Kumar and F.Y. Ayant, Some double integrals involving multivariable I-function, Acta Universitatis Apulensis 58(2) (2019), 35–43.10.17114/j.aua.2019.58.03Search in Google Scholar

D. Kumar, F.Y. Ayant and J. Choi, Application of product of the multivariable A-function and the multivariable Srivastava polynomials, East Asian Math. J. 34(3) (2018), 295–303.Search in Google Scholar

D. Kumar and J. Daiya, Fractional calculus pertaining to generalized H-functions, Glob. J. Sci. Front. Res. (F) 14(3) (2014), 25–35.Search in Google Scholar

D. Kumar, R.K. Gupta, B.S. Shaktawat and J. Choi, Generalized fractional calculus formulas involving the product of Aleph-function and Srivastava polynomials, Proc. Jangjeon Math. Soc. 20(4) (2017), 701–717.Search in Google Scholar

D. Kumar, S. D. Purohit and J. Choi, Generalized fractional integrals involving product of multivariable H-function and a general class of polynomials, J. Nonlinear Sci. Appl. 9 (2016), 8–21.10.22436/jnsa.009.01.02Search in Google Scholar

E.R. Love, Some integral equations involving hypergeometric functions, Proc. Edinb. Math. Soc. 15 (3) (1967), 169–198.10.1017/S0013091500011706Search in Google Scholar

J. Prathima, V. Nambisan and S. K. Kurumujji, A study of I-function of several complex variables, Int. J. Engrg. Math. 2014 (2014), 1–12.10.1155/2014/931395Search in Google Scholar

J. Ram and D. Kumar, Generalized fractional integration involving Appell hypergeometric function of the product of two H-functions, Vijanana Parishad Anusandhan Patrika 54(3) (2011), 33–43.Search in Google Scholar

A.K. Rathie, A new generalization of generalized hypergeometric function, Le Matematiche 52(2) (1997), 297–310.Search in Google Scholar

M. Saigo, R.K. Saxena and J. Ram, On the fractional calculus operator associated with the H-function, Ganita Sandesh 6(1) (1992), 36–47.Search in Google Scholar

R.K. Saxena and V.S. Kiryakova, On relation between the two-dimensional H-transforms in terms of Erdélyi-Kober operators, Math. Balkanica 6 (1992), 133–140.Search in Google Scholar

R.K. Saxena and D. Kumar, Generalized fractional calculus of the Aleph-function involving a general class of polynomials, Acta Math. Sci. Ser. B Engl. Ed. 35(5) (2015), 1095–1110.10.1016/S0252-9602(15)30042-4Search in Google Scholar

R.K. Saxena and R.K. Kumbhat, Fractional integration operators of two variables, Proc. Indian Acad. Sci. Math. Sci. 78 (1973), 177–186.10.1007/BF03049477Search in Google Scholar

R.K. Saxena and R.K. Kumbhat, Some properties of generalized Kober operators, Vijnana Parishad Anusandhan Patrika 18 (1975), 139–150.Search in Google Scholar

R.K. Saxena, J. Ram and D.L. Suthar, Unified fractional derivative formulas for the multivariable H-function, Vijnana Parishad Anusandhan Patrika 49(2) (2006), 159–175.Search in Google Scholar

H.M. Srivastava, A multilinear generating function for the Konhauser set of biorthogonal polynomials suggested by Laguerre polynomial, Pacific J. Math. 177 (1985), 183–191.10.2140/pjm.1985.117.183Search in Google Scholar

H.M. Srivastava and R. Panda, Some bilateral generating functions for a class of generalized hypergeometric polynomials, J. Reine Angew. Math. 283/284 (1976), 265–274.10.1515/crll.1976.283-284.265Search in Google Scholar