Volume 51 | Number 1 | Year 2017 | Article Id. IJMTT-V51P505 | DOI : https://doi.org/10.14445/22315373/IJMTT-V51P505
In the present paper we evaluate an infinite integral involving the product of generalized multivariable 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 Alephfunction of several variables which is sufficiently general in nature and capable to yielding a large of results merely by specializating the parameters their in.
[1] Bin-Saad M.G. Pathan M.A. And Hanballa A.M. On power series associated with generalized multiple Zetafunctions. Math.Sci.Res.J. 17(10) 2013, page 279-291.
[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.
F.Y.Ayant, "Certain infinite integral involving the generalized multiple Zeta-function, a general class of polynomials and multivariable Aleph-functions," International Journal of Mathematics Trends and Technology (IJMTT), vol. 51, no. 1, pp. 33-42, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V51P505