On Certain Expansion for Generalized Multivariable Gimel-Function

Frédéric Ayant

doi:https://doi.org/10.14445/22315373/IJMTT-V57P513

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 57 | Number 2 | Year 2018 | Article Id. IJMTT-V57P513 | DOI : https://doi.org/10.14445/22315373/IJMTT-V57P513

On Certain Expansion for Generalized Multivariable Gimel-Function

Frédéric Ayant

Citation :

Frédéric Ayant, "On Certain Expansion for Generalized Multivariable Gimel-Function," International Journal of Mathematics Trends and Technology (IJMTT), vol. 57, no. 2, pp. 85-94, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V57P513

Abstract

The aim of the present paper is to evaluate four finite integrals involving the product of Jacobi polynomials and the generalized multivariable Gimelfunction with general arguments. These integrals have been utilized to derive the expansion formula for generalized multivariable Gimel-function in series involving Jacobi polynomials.

Keywords

Multivariable Gimel-function, multiple integral contours, Jacobi polynomials, expansion serie, finite integrals

References

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