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

  IJMTT-book-cover
 
International Journal of Mathematics Trends and Technology (IJMTT)
 
© 2018 by IJMTT Journal
Volume-54 Number-1
Year of Publication : 2018
Authors : F.Y.Ayant
  10.14445/22315373/IJMTT-V54P501

MLA

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). V54(1):1-10 January 2018. ISSN:2231-5373. www.ijmttjournal.org. Published by Seventh Sense Research Group.

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].

Reference
[1]Marichev O.I. Prudnikov A.P. And Brychkow Y.A. Elementay functions. Integrals and series Vol 1. USSR Academy of sciences . Moscow 1986.
[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

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