Some Expansions for the Multivariable Gimel-Function in Series Involving Jacobi Polynomials

F.A.Ayant

doi:https://doi.org/10.14445/22315373/IJMTT-V59P508

International Journal of Mathematics Trends and Technology

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Volume 59 | Number 1 | Year 2018 | Article Id. IJMTT-V59P508 | DOI : https://doi.org/10.14445/22315373/IJMTT-V59P508

Some Expansions for the Multivariable Gimel-Function in Series Involving Jacobi Polynomials

F.A.Ayant

Abstract

Shrivastava et al [5] have studied the expansions for the multivariable H-function in series involving Jacobi polynomials. In this paper a few integrals involving product of Jacobi polynomials and the multivariable Gimel-function defined here of general arguments have been evaluated. These integrals have been utilized to establish the expansion formulae for the multivariable Gimel-function in series involving Jacobi polynomials.

Keywords

multivariable Gimel-function, Jacobi polynomials, expansion formula

References

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Citation :

F.A.Ayant, "Some Expansions for the Multivariable Gimel-Function in Series Involving Jacobi Polynomials," International Journal of Mathematics Trends and Technology (IJMTT), vol. 59, no. 1, pp. 48-56, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V59P508