Integral Involving Multivariable Aleph-Function with Applications

F.Y.Ayant

doi:https://doi.org/10.14445/22315373/IJMTT-V55P505

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 55 | Number 1 | Year 2018 | Article Id. IJMTT-V55P505 | DOI : https://doi.org/10.14445/22315373/IJMTT-V55P505

Integral Involving Multivariable Aleph-Function with Applications

F.Y.Ayant

Citation :

F.Y.Ayant, "Integral Involving Multivariable Aleph-Function with Applications," International Journal of Mathematics Trends and Technology (IJMTT), vol. 55, no. 1, pp. 30-41, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V55P505

Abstract

In an attempt to unify some early results in the theory of the hypergeometric function type, we establish new results involving the product of Gauss's hypergeometric function, generalized hypergeometric function and multivariable Aleph-function and uses it in a solution of problem of heat conduction. An expansion formula of very general nature has also been obtained. Finally, we shall the particular cases of the Aleph-function of two variables defined by Sharma [8], the I-function of two variables defined by Sharma et al [7] and the multivariable H-function defined by Srivastava et al [9,10].

Keywords

multivariable Aleph-function, Aleph-function of two variables, I-function of two variables, heat conduction, Aleph-function, multivariable H-function, generalized hypergeometric function.

References

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