On Certain Integrals Involving Spheroidal, Mathieu and Multivariable Gimel- Functions

Frédéric Ayant

doi:https://doi.org/10.14445/22315373/IJMTT-V57P517

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 57 | Number 2 | Year 2018 | Article Id. IJMTT-V57P517 | DOI : https://doi.org/10.14445/22315373/IJMTT-V57P517

On Certain Integrals Involving Spheroidal, Mathieu and Multivariable Gimel- Functions

Frédéric Ayant

Citation :

Frédéric Ayant, "On Certain Integrals Involving Spheroidal, Mathieu and Multivariable Gimel- Functions," International Journal of Mathematics Trends and Technology (IJMTT), vol. 57, no. 2, pp. 115-121, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V57P517

Abstract

The aim of this note is to evaluate certain interesting new integrals involving spheroidal, Mathieu and multivariable Gimel-functions. The importance of the results established in this paper lies in the usefulness of spheroidal and Mathieu functions in the multiplicity of Physical problems as also of the most general nature of the multivariable Gimel-function.

Keywords

Multivariable Gimel-function, multiple integral contours, spheroidal function, Mathieu function

References

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