Integrals and Fourier series involving the product of biorthogonal polynomials and special functions

F.Y. Ayant

doi:https://doi.org/10.14445/22315373/IJMTT-V63P509

International Journal of Mathematics Trends and Technology

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Volume 63 | Number 1 | Year 2018 | Article Id. IJMTT-V63P509 | DOI : https://doi.org/10.14445/22315373/IJMTT-V63P509

Integrals and Fourier series involving the product of biorthogonal polynomials and special functions

F.Y. Ayant

Abstract

In this paper, first we present two integrals pertaining to some special functions like biorthogonal polynomials, Aleph-function, multivariable alephfunction and the general class of multivariable polynomials. Later, we give two Fourier series for the product of some special functions like biorthogonal polynomials, Aleph-function, multivariable aleph-function and the general class of multivariable polynomials which have been obtained by the application of the integrals derived in first time.

Keywords

Aleph-function, general polynomials, multivariable Aleph-function, integrals, biorthogonal polynomials, Fourier series, M-series

References

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Citation :

F.Y. Ayant, "Integrals and Fourier series involving the product of biorthogonal polynomials and special functions," International Journal of Mathematics Trends and Technology (IJMTT), vol. 63, no. 1, pp. 68-74, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V63P509