The integration of certains products of special functions and multivariable Aleph-functions

Frédéric Ayant

doi:https://doi.org/10.14445/22315373/IJMTT-V31P519

International Journal of Mathematics Trends and Technology

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Volume 31 | Number 2 | Year 2016 | Article Id. IJMTT-V31P519 | DOI : https://doi.org/10.14445/22315373/IJMTT-V31P519

The integration of certains products of special functions and multivariable Aleph-functions

Frédéric Ayant

Abstract

The main of the paper is to obtain a finite integral involving a product of Fujiwara's polynomial [1], M-series [4], a class of polynomials and two Aleph-functions of several variables. The results are quite general in nature and hence encompass several cases of interest.

Keywords

Aleph-function of several variables, M-series, finite integral, Fujiwara's polynomial, general class of polynomials.

References

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[5] Srivastava H.M., A contour integral involving Fox's H-function. Indian J.Math. 14(1972), page1-6.
[6] 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.
[7] Srivastava H.M. and Daoust M.C. Certain generalized Neumann expansions associated with Kampé de Fériet function. Nederl. Akad. Wetensch. Proc. Ser. A72 = Indag. Math, 31, (1969), p 449-457.
[8] 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.
[9] Südland N.; Baumann, B. and Nonnenmacher T.F. , Open problem : who knows about the Aleph-functions? Fract. Calc. Appl. Anal., 1(4) (1998): 401-402.

Citation :

Frédéric Ayant, "The integration of certains products of special functions and multivariable Aleph-functions," International Journal of Mathematics Trends and Technology (IJMTT), vol. 31, no. 2, pp. 101-112, 2016. Crossref, https://doi.org/10.14445/22315373/IJMTT-V31P519