Generalized finite integral involving the extension of Zeta-function, a general class of polynomials,the multivariable Aleph-function and the multivariable I-function II

F.Y.Ayant

doi:https://doi.org/10.14445/22315373/IJMTT-V46P527

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 46 | Number 3 | Year 2017 | Article Id. IJMTT-V46P527 | DOI : https://doi.org/10.14445/22315373/IJMTT-V46P527

Generalized finite integral involving the extension of Zeta-function, a general class of polynomials,the multivariable Aleph-function and the multivariable I-function II

F.Y.Ayant

Abstract

In the present paper we evaluate a generalized finite integral involving the product of a extension of the Hurwitz-lerch Zeta-function,the hyperbolic cosinus function, the multivariable Aleph-function, the multivariable I-function defined by Prasad and general class of polynomials of several variables. The importance of the result established in this paper lies in the fact they involve the Aleph-function of several variables which is sufficiently general in nature and capable to yielding a large of results merely by specializating the parameters their in.

Keywords

Multivariable Aleph-function, general class of polynomial, extension of the Hurwitz-lerch Zeta-function, multivariable I-function, multivariable H-function

References

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[5] H.M. Srivastava And R.Panda. Some expansion theorems and generating relations for the H-function of several complex variables. Comment. Math. Univ. St. Paul. 24(1975), p.119-137.
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Citation :

F.Y.Ayant, "Generalized finite integral involving the extension of Zeta-function, a general class of polynomials,the multivariable Aleph-function and the multivariable I-function II," International Journal of Mathematics Trends and Technology (IJMTT), vol. 46, no. 3, pp. 177-185, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V46P527