On certain expansions

F.Y . Ayant

doi:https://doi.org/10.14445/22315373/IJMTT-V36P504

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 36 | Number 1 | Year 2016 | Article Id. IJMTT-V36P504 | DOI : https://doi.org/10.14445/22315373/IJMTT-V36P504

On certain expansions

F.Y . Ayant

Abstract

The aim of the present paper is to evaluate firstly the six finite integrals involving Jacobi polynomials, the Aleph-function of one variable, a class of polynomials of several variables and the generalized multivariable Aleph-function. Then we derive six expansions formulae for Jacobi polynomials, the Aleph-function of one variable, a class of polynomials of several variables and the generalized multivariable Aleph-function.

Keywords

Generalized Aleph-function of several variable, aleph-function of one variable, Jacobi polynomials, Class of polynomials of several variables, expansion formulae.

References

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[3] Sharma C.K.and Ahmad S.S.: On the multivariable I-function. Acta ciencia Indica Math , 1994 vol 20,no2, p 113- 116.
[4] C.K. Sharma and P.L. mishra : On the I-function of two variables and its properties. Acta Ciencia Indica Math , 1991 Vol 17 page 667-672.
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[6] 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 :

F.Y . Ayant, "On certain expansions," International Journal of Mathematics Trends and Technology (IJMTT), vol. 36, no. 1, pp. 27-41, 2016. Crossref, https://doi.org/10.14445/22315373/IJMTT-V36P504