Some Finite Double Integral Formulae Involving Generalized Multivariable Gimel-Function

Frédéric Ayant

doi:https://doi.org/10.14445/22315373/IJMTT-V59P533

International Journal of Mathematics Trends and Technology

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Volume 59 | Number 4 | Year 2018 | Article Id. IJMTT-V59P533 | DOI : https://doi.org/10.14445/22315373/IJMTT-V59P533

Some Finite Double Integral Formulae Involving Generalized Multivariable Gimel-Function

Frédéric Ayant

Abstract

In the present paper we evaluate three finite double integrals involving various products of biorthogonal pair of polynomials, a general class of polynomials, and generalized multivariable Gimel-function with general arguments. Our integrals are quite general in character and a large number of integrals can be deduced as particular cases. Some interesting special cases of our main results have been discussed brefly.

Keywords

Multivariable Gimel-function, multiple integral contours, finite double integral, general class of polynomials, biorthogonal polynomials.

References

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Citation :

Frédéric Ayant, "Some Finite Double Integral Formulae Involving Generalized Multivariable Gimel-Function," International Journal of Mathematics Trends and Technology (IJMTT), vol. 59, no. 4, pp. 228-238, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V59P533