An expansion formula about multivariable Gimel-function

Frédéric Ayan

doi:https://doi.org/10.14445/22315373/IJMTT-V56P518

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 56 | Number 2 | Year 2018 | Article Id. IJMTT-V56P518 | DOI : https://doi.org/10.14445/22315373/IJMTT-V56P518

An expansion formula about multivariable Gimel-function

Frédéric Ayan

Abstract

The object if this paper is to evaluate an integral associated with Bessel polynomials and the multivariable Gimel-function and to apply it in proving an expansion formula for the multivariable Gimel-function in series of product of the Bessel polynomials and a related multivariable Gimel-function. The results obtained are of general character and the integrals and series expansions associated with the special functions of Mathematical Physics can be derived as special cases.

Keywords

Multivariable Gimel-function, multiple integral contours, Bessel polynomial, expansion formula.

References

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Citation :

Frédéric Ayan, "An expansion formula about multivariable Gimel-function," International Journal of Mathematics Trends and Technology (IJMTT), vol. 56, no. 2, pp. 129-134, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V56P518