Selberg integral involving a certain extension of the Hurwitz-Lerch Zeta 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-V41P538

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 41 | Number 4 | Year 2017 | Article Id. IJMTT-V41P538 | DOI : https://doi.org/10.14445/22315373/IJMTT-V41P538

Selberg integral involving a certain extension of the Hurwitz-Lerch Zeta 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 , a certain extension of the Hurwitz-Lerch Zeta function a multivariable Alephfunction, the multivariable I-function defined by Prasad [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 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, 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
[2] Parmar K.P and Raina R.K. On a certain extension of the Hurwitz-Lerch Zeta function. Analele Universitatii de Vest. Timosoara. Seria Matematica- informatica 2014, 52(2), page 157-170.
[3] Y.N. Prasad , Multivariable I-function , Vijnana Parishad Anusandhan Patrika 29 ( 1986 ) , page 231-237
[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] 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 a certain extension of the Hurwitz-Lerch Zeta 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. 395-403, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V41P538