On a general class of multiple Eulerian integrals I

Frederic Ayant; Vinod Gill

doi:https://doi.org/10.14445/22315373/IJMTT-V51P503

International Journal of Mathematics Trends and Technology

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Volume 51 | Number 1 | Year 2017 | Article Id. IJMTT-V51P503 | DOI : https://doi.org/10.14445/22315373/IJMTT-V51P503

On a general class of multiple Eulerian integrals I

Frederic Ayant, Vinod Gill

Abstract

Recently, Raina and Srivastava [5] and Srivastava and Hussain [12] have provided closed-form expressions for a number of a general Eulerian integrals involving multivariable H-functions. Motivated by these recent works, we aim at evaluating a general class of multiple eulerian integrals involving a multivariable Aleph-function with general arguments. These integrals will serve as a key formula from which one can deduce numerous useful integrals.

Keywords

Multivariable Aleph-function, multiple Eulerian integral ,class of polynomials, sequence of functions.

References

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Citation :

Frederic Ayant, Vinod Gill, "On a general class of multiple Eulerian integrals I," International Journal of Mathematics Trends and Technology (IJMTT), vol. 51, no. 1, pp. 16-26, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V51P503