Integral involving a generalized multiple-index Mittag-Leffler function, Bessel functions, a class of polynomials multivariable Aleph-function and multivariable I-function

F.Y.Ayant

doi:https://doi.org/10.14445/22315373/IJMTT-V53P503

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 53 | Number 1 | Year 2018 | Article Id. IJMTT-V53P503 | DOI : https://doi.org/10.14445/22315373/IJMTT-V53P503

Integral involving a generalized multiple-index Mittag-Leffler function, Bessel functions, a class of polynomials multivariable Aleph-function and multivariable I-function

F.Y.Ayant

Citation :

F.Y.Ayant, "Integral involving a generalized multiple-index Mittag-Leffler function, Bessel functions, a class of polynomials multivariable Aleph-function and multivariable I-function," International Journal of Mathematics Trends and Technology (IJMTT), vol. 53, no. 1, pp. 13-21, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V53P503

Abstract

In the present paper we evaluate a general integral involving the product of a generalized multiple-index Mittag-Leffler function,product of three Bessel functions, multivariable Aleph-function, the multivariable I-function defined by Prasad [6] and general class of polynomials of several variables. The importance of the result established in this paper lies in the fact they involve the Aleph-function of several variables which is sufficiently general in nature and capable to yielding a large of results merely by specializating the parameters their in.

Keywords

Multivariable Aleph-function, general class of polynomials, generalized multiple-index Mittag-Leffler function, multivariable I-function, multivariable H-function

References

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