Multiple Integral Involving The Extension of The Hurwitz-Lerch Zeta Function, Class of Polynomials and Multivariable Aleph-Functions

F.Y.Ayant

doi:https://doi.org/10.14445/22315373/IJMTT-V54P501

International Journal of Mathematics Trends and Technology

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Volume 54 | Number 1 | Year 2018 | Article Id. IJMTT-V54P501 | DOI : https://doi.org/10.14445/22315373/IJMTT-V54P501

Multiple Integral Involving The Extension of The Hurwitz-Lerch Zeta Function, Class of Polynomials and Multivariable Aleph-Functions

F.Y.Ayant

Abstract

In the present paper we evaluate a general multiple integrals involving the product of the extension of the Hurwitz-Lerch Zeta function, the multivariable Aleph-functions 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.. We will the particular case concerning the multivariable I-function defined by Sharma et al [2].

Keywords

ultivariable Aleph-function, general class of polynomials, multiple integral, multivariable I-function, the extension of the Hurwitz- Lerch Zeta function

References

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[2] Sharma C.K.and Ahmad S.S.: On the multivariable I-function. Acta ciencia Indica Math , 1994 vol 20,no2, p 113- 116.
[3] C.K. Sharma and P.L. mishra : On the I-function of two variables and its properties. Acta Ciencia Indica Math , 1991, Vol 17 page 667-672.
[4] Sharma K. On the integral representation and applications of the generalized function of two variables , International Journal of Mathematical Engineering and Sciences , Vol 3 , issue1 ( 2014 ) , page1-13.
[5] Srivastava H.M. A multilinear generating function for the Konhauser set of biorthogonal polynomials suggested by Laguerre polynomial, Pacific. J. Math. 177(1985), page183-191.
[6] H.M. Srivastava, R.K. Saxena, T.K. Pogány, R. Saxena, Integral and computational representations of the extended Hurwitz–Lerch zeta function, Integr.Transf. Spec. Funct. 22 (2011) 487–506

Citation :

F.Y.Ayant, "Multiple Integral Involving The Extension of The Hurwitz-Lerch Zeta Function, Class of Polynomials and Multivariable Aleph-Functions," International Journal of Mathematics Trends and Technology (IJMTT), vol. 54, no. 1, pp. 1-10, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V54P501