Finite integral involving the generalized multiple Zeta-function, a general class of polynomials and multivariable Aleph-functions Bessels function and the multivariable I-function II

F.Y. Ayant

doi:https://doi.org/10.14445/22315373/IJMTT-V48P510

International Journal of Mathematics Trends and Technology

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Volume 48 | Number 1 | Year 2017 | Article Id. IJMTT-V48P510 | DOI : https://doi.org/10.14445/22315373/IJMTT-V48P510

Finite integral involving the generalized multiple Zeta-function, a general class of polynomials and multivariable Aleph-functions Bessels 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 generalized multiple zeta-function, the dilogarithm function, 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, multiple Zeta-function, dilogarithm function, multivariable I-function, multivariable H-function

References

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[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] 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. Ayant, "Finite integral involving the generalized multiple Zeta-function, a general class of polynomials and multivariable Aleph-functions Bessels function and the multivariable I-function II," International Journal of Mathematics Trends and Technology (IJMTT), vol. 48, no. 1, pp. 81-89, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V48P510