On Certain Generalized Families of Unified Elliptic- Type Integrals Pertaining to Euler Integrals, Generating Function and Multivariable A-Function

F.Y.Ayant

doi:https://doi.org/10.14445/22315373/IJMTT-V61P509

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 61 | Number 1 | Year 2018 | Article Id. IJMTT-V61P509 | DOI : https://doi.org/10.14445/22315373/IJMTT-V61P509

On Certain Generalized Families of Unified Elliptic- Type Integrals Pertaining to Euler Integrals, Generating Function and Multivariable A-Function

F.Y.Ayant

Citation :

F.Y.Ayant, "On Certain Generalized Families of Unified Elliptic- Type Integrals Pertaining to Euler Integrals, Generating Function and Multivariable A-Function," International Journal of Mathematics Trends and Technology (IJMTT), vol. 61, no. 1, pp. 64-73, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V61P509

Abstract

Elliptic-type integrals have their importance and potential in certain problems in radiation physics and nuclear technology. A number of earlier works on the subject contains several interesting unifications and generalizations of some significant families of elliptic-type integrals. The present paper is intended to obtain certain new theorems on generating functions.The results obtained in this paper are of manifold generality and basic in nature. Beside deriving various known and new elliptic-type integrals and their generalizations these theorems can be used to evaluate various Euler-type integrals involving a number of generating functions.

Keywords

s Elliptic-type integrals, Euler-type integrals, generalized Lauricella function, multivariable A-function, generating functions.

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