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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 33 | Number 4 | Year 2016 | Article Id. IJMTT-V33P532 | DOI : https://doi.org/10.14445/22315373/IJMTT-V33P532

Finite integrals involving product of multivariable Jacobi polynomial and Aleph-function of several variables


Frédéric Ayant
Abstract

In the present paper, few finite integrals involving products of multivariable Jacobi polynomial and Aleph-function of several variables of generalized arguments have been evaluated. These integrals have been utilized to established the expansion formula for multivariable Aleph-function in series involving product of multivariable Jacobi polynomials since multivariable Aleph-function quite general function in nature. On specializing the parameters of the function involving in results many news relations may be obtained as particular cases.

Keywords
Multivariable Aleph-function, Multivariable I-function, Aleph-function of two variables, Multivariable Jacobi polynomial.
References

[1] Ayant F.Y. An integral associated with the Aleph-functions of several variables. International Journal of Mathematics Trends and Technology (IJMTT). 2016 Vol 31 (3), page 142-154.
[2] Carslaw H.S. Introduction to theory of Fourier series and integrals . Dober Publications, New York (1950)
[3] Erdelyi A. Tables of integrals transforms. Part2. Ms Graw Hill, New York (1954)
[4] Rainville E.D. Special functions, McMillan New York (1967)
[5] Sharma C.K.and Ahmad S.S.: On the multivariable I-function. Acta ciencia Indica Math , 1994 vol 20,no2, p 113- 116
[6] Sharma K. On the integral representation and applications of the generalized function of two variables , International Journal of Mathematical Engineering and Sciences , Vol 3 , issue1 ( 2014 ) , page 1-13.
[7] Shrivastava H.S.P. Journ of the Indian Acad math, vol 25 no1 (2003) p.159-168

Citation :

Frédéric Ayant, "Finite integrals involving product of multivariable Jacobi polynomial and Aleph-function of several variables," International Journal of Mathematics Trends and Technology (IJMTT), vol. 33, no. 4, pp. 237-247, 2016. Crossref, https://doi.org/10.14445/22315373/IJMTT-V33P532

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