Integration of certain products associated with the multivariable Aleph-function and a general class of polynomials of several variables

F.Y.Ayant

doi:https://doi.org/10.14445/22315373/IJMTT-V36P527

International Journal of Mathematics Trends and Technology

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Volume 36 | Number 3 | Year 2016 | Article Id. IJMTT-V36P527 | DOI : https://doi.org/10.14445/22315373/IJMTT-V36P527

Integration of certain products associated with the multivariable Aleph-function and a general class of polynomials of several variables

F.Y.Ayant

Abstract

In the present document we evaluate two finite integrals involving the product of Aleph-function of one variable, the multivariable Aleph-function and a general class of polynomials of several variables. On account of the most general nature of the functions involved herein a very large number of known and new integrals involved simpler special functions and orthogonal polynomials follow as particular cases of our main integrals.

Keywords

multivariable Aleph-function, Aleph-function, class of multivariable polynomials, hypergeometric function, finite integral,. I-function of several variables, Aleph-function of two variables.

References

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Citation :

F.Y.Ayant, "Integration of certain products associated with the multivariable Aleph-function and a general class of polynomials of several variables," International Journal of Mathematics Trends and Technology (IJMTT), vol. 36, no. 3, pp. 192-201, 2016. Crossref, https://doi.org/10.14445/22315373/IJMTT-V36P527