International Journal of Mathematics Trends and Technology
Volume 51 | Number 2 | Year 2017 | Article Id. IJMTT-V51P511 | DOI : https://doi.org/10.14445/22315373/IJMTT-V51P511
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.
[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.
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), vol. 51, no. 2, pp. 86-95, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V51P511
PDF 
Abstract 
Keywords 
References 
Citation