On general Eulerian integral of certain products of I-functions and
 multivariable A-function

F.Y. Ayant

doi:https://doi.org/10.14445/22315373/IJMTT-V43P525

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 43 | Number 3 | Year 2017 | Article Id. IJMTT-V43P525 | DOI : https://doi.org/10.14445/22315373/IJMTT-V43P525

On general Eulerian integral of certain products of I-functions and multivariable A-function

F.Y. Ayant

Abstract

The object of this paper is to establish an general Eulerian integral involving the product of two multivariable I-functions defined by Prasad [2], the multivariable A-function and a generalized hypergeometric function which provide unification and extension of numerous results. We will study the particular case concerning the multivariable H-function defined by Srivastava et al [7].

Keywords

Eulerian integral, multivariable I-function, Lauricella function of several variables, multivariable H-function, generalized hypergeometric function

References

1] Gautam B.P., Asgar A.S. and Goyal A.N. On the multivariable A-function. Vijnana Parishas Anusandhan Patrika Vol 29(4) 1986, page 67-81.
[2] Y.N. Prasad , Multivariable I-function , Vijnana Parishad Anusandhan Patrika 29 ( 1986 ) , page 231-237.
[3] Saigo M. and Saxena R.K. Unified fractional integral formulas for the multivariable H-function I. J.Fractional Calculus 15 (1999), page 91-107.
[4] Sharma C.K.and Ahmad S.S.: On the multivariable I-function. Acta ciencia Indica Math , 1994 vol 20,no2, p 113- 116.
[5] Srivastava H.M. and Karlsson P.W. Multiple Gaussian Hypergeometric series. Ellis.Horwood. Limited. New-York, Chichester. Brisbane. Toronto , 1985.
[6] Srivastava H.M. and Manocha H.L : A treatise of generating functions. Ellis. Horwood.Series. Mathematics and Applications 1984, page 60
[7] 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), p.119-137.

Citation :

F.Y. Ayant, "On general Eulerian integral of certain products of I-functions and multivariable A-function," International Journal of Mathematics Trends and Technology (IJMTT), vol. 43, no. 3, pp. 210-221, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V43P525