On Unified Eulerian Type Integrals Involving a Multivariable Gimel-Function with General Arguments

F.Y. Ayant

doi:https://doi.org/10.14445/22315373/IJMTT-V63P503

International Journal of Mathematics Trends and Technology

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Volume 63 | Number 1 | Year 2018 | Article Id. IJMTT-V63P503 | DOI : https://doi.org/10.14445/22315373/IJMTT-V63P503

On Unified Eulerian Type Integrals Involving a Multivariable Gimel-Function with General Arguments

F.Y. Ayant

Abstract

The aim of the present paper is to evaluate an unified Eulerian type integral. This integral involves the product of function with multivariable gimel-function. Further, the argument of this integral are quite general in nature. Next, we give three special cases. A number of other integrals can also be obtained as special cases of our integral thus unifying several simpler integrals lying scattered in the literature.

Keywords

Multivariable Gimel-function , general sequence of functions , Eulerian integral.

References

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Citation :

F.Y. Ayant, "On Unified Eulerian Type Integrals Involving a Multivariable Gimel-Function with General Arguments," International Journal of Mathematics Trends and Technology (IJMTT), vol. 63, no. 1, pp. 16-24, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V63P503