Selberg integral involving the S generalized Gauss's hypergeometric function, a class of polynomials the multivariable I-function and multivariable Aleph-functions

F.Y. AY ANT

doi:https://doi.org/10.14445/22315373/IJMTT-V41P539

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 41 | Number 4 | Year 2017 | Article Id. IJMTT-V41P539 | DOI : https://doi.org/10.14445/22315373/IJMTT-V41P539

Selberg integral involving the S generalized Gauss's hypergeometric function, a class of polynomials the multivariable I-function and multivariable Aleph-functions

F.Y. AY ANT

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 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, Selberg integral, General sequence of functions, multivariable I-function, multivariable H-function.

References

[1] Beals Richard and Roderick Wong. Special functions. Cambridge University Press 2010
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[3] Prathima J. Nambisan V. and Kurumujji S.K. A Study of I-function of Several Complex Variables, International Journalof Engineering Mathematics Vol(2014) , 2014 page 1-12
[4] Sharma C.K.and Ahmad S.S.: On the multivariable I-function. Acta ciencia Indica Math , 1994 vol 20,no2, p 113- 116.
[5] 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.
[6] Srivastava H.M. Agarwal P. and Jain S. Generating functions for the generalized Gauss hypergeometric functions.
Applied Mathematics and computations 247 (2014), page 358-352
[7] 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. AY ANT, "Selberg integral involving the S generalized Gauss's hypergeometric function, a class of polynomials the multivariable I-function and multivariable Aleph-functions," International Journal of Mathematics Trends and Technology (IJMTT), vol. 41, no. 4, pp. 404-412, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V41P539