An expansion formula for multivariable Gimel-function involving
generalized Legendre Associated function

Frédéric Ayant

doi:https://doi.org/10.14445/22315373/IJMTT-V56P532

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 56 | Number 4 | Year 2018 | Article Id. IJMTT-V56P532 | DOI : https://doi.org/10.14445/22315373/IJMTT-V56P532

An expansion formula for multivariable Gimel-function involving generalized Legendre Associated function

Frédéric Ayant

Abstract

In this paper, we have evaluated an integral involving generalized Legendre’s associated function and the multivariable Gimel-function defined here. This integral has been used in deriving an expansion formula for the multivariable Gimel-function in terms of a series of product of multivariable Gimel-function and generalized Legendre’s associated function due to Meulenbeld [4].

Keywords

Multivariable Gimel-function, multiple integral contours, expansion serie, Generalized Legendre’s associated function.

References

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Citation :

Frédéric Ayant, "An expansion formula for multivariable Gimel-function involving generalized Legendre Associated function," International Journal of Mathematics Trends and Technology (IJMTT), vol. 56, no. 4, pp. 223-228, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V56P532