Infinite integrals and generalized multivariable Aleph-function

F.Y . Ayant

doi:https://doi.org/10.14445/22315373/IJMTT-V36P502

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 36 | Number 1 | Year 2016 | Article Id. IJMTT-V36P502 | DOI : https://doi.org/10.14445/22315373/IJMTT-V36P502

Infinite integrals and generalized multivariable Aleph-function

F.Y . Ayant

Citation :

F.Y . Ayant, "Infinite integrals and generalized multivariable Aleph-function," International Journal of Mathematics Trends and Technology (IJMTT), vol. 36, no. 1, pp. 11-16, 2016. Crossref, https://doi.org/10.14445/22315373/IJMTT-V36P502

Abstract

The aim of this paper is to introduce a generalization of multivariable Aleph-function by means of a multiple Mellin-Barnes contour integral and then establish integrals which are products of Aleph-function and generalized multivariable Aleph-function with the help of Mellin transform. The generalized Aleph-function of several variables contains all the functions of seveal variables defined so far. On specializing the parameters of the function involved in the relations, various known and unknown results may be derived as particulars cases.

Keywords

generalized multivariable Aleph-function, Aleph-function, Mellin-transform, generalized hypergeometric function, infinite integral.

References

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