Generalized finite integral involving a sequence of functions, a general class of
polynomials,the multivariable Aleph-function and the multivariable I-function II

F.Y. Ayant

doi:https://doi.org/10.14445/22315373/IJMTT-V48P505

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 48 | Number 1 | Year 2017 | Article Id. IJMTT-V48P505 | DOI : https://doi.org/10.14445/22315373/IJMTT-V48P505

Generalized finite integral involving a sequence of functions, a general class of polynomials,the multivariable Aleph-function and the multivariable I-function II

F.Y. Ayant

Abstract

In the present paper we evaluate a generalized finite integral involving the product of a sequence of functions, the multivariable Aleph-function, the multivariable I-function defined by Prasad 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 polynomial, sequence of functions, multivariable I-function, multivariable H-function

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] Brychkow Y.A. Handbook of Special Functions. Derivatives. Integrals, Series and Other Formulas. CRC. Press. Taykor and Francis Group. Boca. Raton. London. New York. 2008.
[3]Fujiwara I. A unified presentation of classical orthogonal polynomials. Math. Japon. 11 (1966), page133-148.
[4] Y.N. Prasad , Multivariable I-function , Vijnana Parishad Anusandhan Patrika 29 ( 1986 ) , page 231-237.
P [5] 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
[6] 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.
[7] Sharma C.K.and Ahmad S.S.: On the multivariable I-function. Acta ciencia Indica Math , 1994 vol 20,no2, p 113- 116.
[8] 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
[9] H.M. Srivastava And R.Panda. Some expansion theorems and generating relations for the H-function of several complex variables. Comment. Math. Univ. St. Paul. 24(1975), p.119-137.

Citation :

F.Y. Ayant, "Generalized finite integral involving a sequence of functions, a general class of polynomials,the multivariable Aleph-function and the multivariable I-function II," International Journal of Mathematics Trends and Technology (IJMTT), vol. 48, no. 1, pp. 33-41, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V48P505