A General Class of Multiple Eulerian Integrals Involving a Multivariable Gimel-Function with General Arguments

F.Y. Ayant

doi:https://doi.org/10.14445/22315373/IJMTT-V63P505

International Journal of Mathematics Trends and Technology

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Volume 63 | Number 1 | Year 2018 | Article Id. IJMTT-V63P505 | DOI : https://doi.org/10.14445/22315373/IJMTT-V63P505

A General Class of Multiple Eulerian Integrals Involving a Multivariable Gimel-Function with General Arguments

F.Y. Ayant

Abstract

Recently, Raina and Srivastava [7] and Srivastava and Hussain [12] have provided closed-form expressions for a number of a general Eulerian integrals about the multivariable H-functions. Motivated by these recent works, we aim at evaluating a general class of multiple Eulerian integrals involving a multivariable Gimel-function defined here with general arguments. These integrals will serve as a key formula from which one can deduce numerous useful integrals.

Keywords

Multivariable Gimel-function, multiple Eulerian integral , general polynomials, sequence of polynomials.

References

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Citation :

F.Y. Ayant, "A General Class of Multiple Eulerian Integrals Involving a Multivariable Gimel-Function with General Arguments," International Journal of Mathematics Trends and Technology (IJMTT), vol. 63, no. 1, pp. 35-46, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V63P505