Eulerian Integral Associated with Product of Two Multivariable Gimel-Functions, and Special Functions of Several Variables II

F.Y.Ayant

doi:https://doi.org/10.14445/22315373/IJMTT-V62P520

International Journal of Mathematics Trends and Technology

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Volume 62 | Number 2 | Year 2018 | Article Id. IJMTT-V62P520 | DOI : https://doi.org/10.14445/22315373/IJMTT-V62P520

Eulerian Integral Associated with Product of Two Multivariable Gimel-Functions, and Special Functions of Several Variables II

F.Y.Ayant

Abstract

Recently, Raina and Srivastava [6] and Srivastava and Hussain [11] have provided closed-form expressions for a number of a Eulerian integral about the multivariable H-functions. The present paper is evaluated a new Eulerian integral associated with the product of two multivariable Gimelfunctions defined by Ayant [2], a generalized Lauricella function, a multivariable I-function defined by Prasad and multivariable Aleph-function defined by Ayant [1] with general arguments . Finally we shall give few remarks.

Keywords

Eulerian integral, multivariable Gimel-function, generalized Lauricella function of several variables, expansion of multivariable Ifunction expansion of multivariable aleph-function, generalized hypergeometric function, class of polynomials.

References

[1] F.Y. Ayant, A Fractional Integration of the Product of Two Multivariable Aleph-Functions and a General Class of Polynomials I, Int. Jr. of Mathematical Sciences & Applications, 7(2) (2017), 181-198.
[2] F.Y.Ayant, Some transformations and idendities form multivariable Gimel-function, International Journal of Matematics and Technology (IJMTT), 59(4) (2018), 248-255.
[3] B.L.J. Braaksma, Asymptotics expansions and analytic continuations for a class of Barnes-integrals, Compositio Math. 15 (1962-1964), 239-341.
[4] Y.N. Prasad, Multivariable I-function , Vijnana Parisha Anusandhan Patrika 29 (1986), 231-237.
[5] J. Prathima, V. Nambisan and S.K. Kurumujji, A Study of I-function of Several Complex Variables, International Journal of Engineering Mathematics Vol (2014), 1-12.
[6] R.K. Raina and H.M. Srivastava, Evaluation of certain class of Eulerian integrals. J. phys. A: Math.Gen. 26 (1993), 691-696.
[7] M. Saigo, and R.K. Saxena, Unified fractional integral formulas forthe multivariable H-function. J.Fractional Calculus 15 (1999), 91-107.
[8] 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.
[9] H.M. Srivastava and M.C Daoust, Certain generalized Neumann expansions associated with Kampé de Fériet function. Nederl. Akad. Wetensch. Proc. Ser A72 = Indag Math 31(1969) page 449-457.
[10] H.M. Srivastava and M. M. Garg, Some integral involving a general class of polynomials and multivariable Hfunction. Rev. Roumaine Phys. 32(1987), page 685-692.
[11] H.M. Srivastava and M.A. Hussain, Fractional integration of the H-function of several variables. Comput. Math. Appl. 30 (9) (1995), 73-85
[12] H.M. Srivastava and H.L. Manocha, A treatise of generating functions. Ellis. Horwood.Series. Mathematics and Applications 1984, p. 60.
[13] H.M. Srivastava and R. Panda, Some expansion theorems and generating relations for the H-function of several complex variables, Comment. Math. Univ. St. Paul. 24(1975), page.119-137.
[14] H.M. Srivastava and R. Panda, Some expansion theorems and generating relations for the H-function of several complex variables II. Comment. Math. Univ. St. Paul. 25(1976), page.167-19.

Citation :

F.Y.Ayant, "Eulerian Integral Associated with Product of Two Multivariable Gimel-Functions, and Special Functions of Several Variables II," International Journal of Mathematics Trends and Technology (IJMTT), vol. 62, no. 2, pp. 143-151, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V62P520