Finite integral involving a general sequence of functions, a class of polynomials and multivariable Aleph-functions

F.Y.Ayant

doi:https://doi.org/10.14445/22315373/IJMTT-V45P516

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 45 | Number 2 | Year 2017 | Article Id. IJMTT-V45P516 | DOI : https://doi.org/10.14445/22315373/IJMTT-V45P516

Finite integral involving a general sequence of functions, a class of polynomials and multivariable Aleph-functions

F.Y.Ayant

Abstract

In the present paper we evaluate a finite integral with four parameters involving the product of a general sequence of functions, multivariable Alephfunctions 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.

Keywords

Multivariable Aleph-function, general class of polynomials, Liouville integral, General sequence of functions.

References

[1] Agrawal B.D. And Chaubey J.P. Certain derivation of generating relations for generalized polynomials. Indian J. Pure and Appl. Math 10 (1980), page 1155-1157, ibid 11 (1981), page 357-359
[2] Fujiwara I. A unified presentation of classical orthogonal polynomials. Math. Japon. 11 (1966), page133-148.
[3]Marichev O.I. Prudnikov A.P. And Brychkow Y.A. Elementay functions. Integrals and series Vol 1. USSR Academy of sciences . Moscow 1986.
[4] Raizada S.K. A study of unified representation of special functions of Mathematics Physics and their use in statistical and boundary value problem. Ph.D. Thesis, Bundelkhand University, Jhansi, India, 1991
[5] Salim T.O. A serie formula of generalized class of polynomials associated with Laplace transform and fractional integral operators. J. Rajasthan. Acad. Phy. Sci. 1(3) (2002), page 167-176.
[6] Sharma C.K.and Ahmad S.S.: On the multivariable I-function. Acta ciencia Indica Math , 1994 vol 20,no2, p 113- 116.
[7] 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.
[8] 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.
[9] 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.

Citation :

F.Y.Ayant, "Finite integral involving a general sequence of functions, a class of polynomials and multivariable Aleph-functions," International Journal of Mathematics Trends and Technology (IJMTT), vol. 45, no. 2, pp. 95-105, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V45P516