Infinite integral involving the product of generalized Zeta-function, a class of polynomials and multivariable Aleph-functions II

  IJMTT-book-cover
 
International Journal of Mathematics Trends and Technology (IJMTT)
 
© 2017 by IJMTT Journal
Volume-51 Number-2
Year of Publication : 2017
Authors : F.Y.Ayant
  10.14445/22315373/IJMTT-V51P511

MLA

F.Y.Ayant "Infinite integral involving the product of generalized Zeta-function, a class of polynomials and multivariable Aleph-functions II", International Journal of Mathematics Trends and Technology (IJMTT). V51(2):86-95 November 2017. ISSN:2231-5373. www.ijmttjournal.org. Published by Seventh Sense Research Group.

Abstract
In the present paper we evaluate one infinite integral involving the product of generalized Zeta-function, 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.

Reference
[1] Goyal S.P. And Laddha R.K. The generalized Riemann- Zeta function. Ganita Sandesh 11 (1997), Page 99.
[2]Marichev O.I. Prudnikov A.P. And Brychkow Y.A. Elementay functions. Integrals and series Vol 1. USSR Academy of sciences . Moscow 1986.
[3] Sharma C.K.and Ahmad S.S.: On the multivariable I-function. Acta ciencia Indica Math , 1994 vol 20,no2, p 113- 116.
[4] 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.
[5] 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.
[6] 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.

Keywords
Multivariable Aleph-function, general class of polynomials, infinite integral, generalized Zeta-function.