Some finite integrals and Fourier serie involving general class of polynomials,
biorthogonal polynomials, Aleph-function and the multivariable Aleph-function

Frédéric Ayant

doi:https://doi.org/10.14445/22315373/IJMTT-V33P533

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 33 | Number 4 | Year 2016 | Article Id. IJMTT-V33P533 | DOI : https://doi.org/10.14445/22315373/IJMTT-V33P533

Some finite integrals and Fourier serie involving general class of polynomials, biorthogonal polynomials, Aleph-function and the multivariable Aleph-function

Frédéric Ayant

Abstract

In this document, we obtain four integrals and four Fourier series expansions involving the multivariable Aleph-function, the general class of polynomials, biorthogonal polynomials and Aleph-function which are the sufficiently general in nature and are capable of yielding a large number of simpler and useful results merely by specializing the parameters in them. Further we establish some special cases.

Keywords

Aleph-function of several variables, integrals, Fourier serie, general class of polynomials,biorthogonal polynomial,Aleph-function

References

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Citation :

Frédéric Ayant, "Some finite integrals and Fourier serie involving general class of polynomials, biorthogonal polynomials, Aleph-function and the multivariable Aleph-function," International Journal of Mathematics Trends and Technology (IJMTT), vol. 33, no. 4, pp. 248-258, 2016. Crossref, https://doi.org/10.14445/22315373/IJMTT-V33P533