A Finite Double Integral Involving Biorthogonal Polynomial, A Multivariable General Class of Polynomial and H - Function
نویسندگان
چکیده
In the present paper, we evaluate a finite double integral involving product of biorthogonal polynomial, a multivariable general class of polynomial and the H function with general arguments. The integral evaluated is quite general in nature and yields number of known and new integrals as its special cases. Several new interesting integrals of our findings have also been mentioned briefly.
منابع مشابه
Certain finite finite integral involving sequence of functions, a general class of polynomials and multivariable Aleph-functions IV
ABSTRACT In the present paper we evaluate a finite integral with involving the product of sequence of functions, a logarithm function of general argument, elliptic integral of first species, product of two 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...
متن کاملOn general Eulerian integral of certain products of two multivariable I-functions defined by Nambisan and a class of polynomials
The object of this paper is to establish an general Eulerian integral involving the product of two multivariable I-functions defined by Nambisan et al [2], a class of multivariable polynomials and a generalized hypergeometric function which provide unification and extension of numerous results. We will study the particular cases concerning the multivariable H-function and the Srivastava-Daoust ...
متن کاملIntegral involving the extension of the Hurwitz-Lerch Zeta function,Bessel functions, a Jacobi polynomial,a class of polynomials, a multivariable Aleph-function and multivariable I-function
ABSTRACT In the present paper we evaluate a general integral involving the product of the extension of the Hurwitz-Lerch Zeta function, product of two ,Bessel functions, multivariable Aleph-function Jacobi polynomial, the multivariable I-function defined by Prasad [4] and general class of polynomials of several variables. The importance of the result established in this paper lies in the fact t...
متن کاملSome Bilateral Generating Functions Involving the Chan-chyan-srivastava Polynomials and Some General Classes of Multivariable Polynomials
Abstract. Recently, Liu et al. [Bilateral generating functions for the Chan-Chyan-Srivastava polynomials and the generalized Lauricella function, Integral Transform Spec. Funct. 23 (2012), no. 7, 539–549] investigated, in several interesting papers, some various families of bilateral generating functions involving the Chan-Chyan-Srivastava polynomials. The aim of this present paper is to obtain...
متن کاملSelberg integral involving the S generalized Gauss's hypergeometric function, a class of polynomials the multivariable I-function and multivariable Aleph-functions
ABSTRACT In the present paper we evaluate the Selberg integral involving the S generalized Gauus's hypergeometric function, a multivariable Aleph-function, the multivariable I-function defined by Nambisan et al [3] and general class of polynomials of several variables. The importance of the result established in this paper lies in the fact they involve the I-function of several variables which ...
متن کامل