On some multidimensional integral transforms of multivariable Aleph-function III

F.Y.Ayant

doi:https://doi.org/10.14445/22315373/IJMTT-V37P522

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 37 | Number 3 | Year 2016 | Article Id. IJMTT-V37P522 | DOI : https://doi.org/10.14445/22315373/IJMTT-V37P522

On some multidimensional integral transforms of multivariable Aleph-function III

F.Y.Ayant

Abstract

The object of the paper is to obtain few general multiple integral transformations of the multivariable Aleph-function, as kernel product with Fox's Hfunction and general class of polynomials. Several cases are also included.

Keywords

Multivariable Aleph-function, multidimensional integral transforms ,General class of polynomials, Multivariable I-function, Alephfunction of two variables,Laguerre polynomials.

References

[1] Fox C. The G and H-function as symmetrical Fourier Kernels. Trans. Amer. Math. Soc. 98 (1961), page 395-429
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[3] 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.
[4] 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 ) , page1-13.
[5] Srivastava H.M. A contour integral involving Fox's H-function. Indian J. Maths 14 (1972), page 1-6.
[6] H.M. Srivastava And R.Panda. Some expansion theorems and generating relations for the H-function of several complex variables. Comment. Math. Univ. St. Paul. 24(1975), p.119-137.
[7] H.M. Srivastava And R.Panda. Some multiple integral transformations involving the H-function of several variables . Nederl. Akad. Wetensch. Proc. Ser A 82(3), (1979), page 353-362.
[8] Srivastava H.M. and Singh N.P. The integration of certain products of the multivariable H-function with a general class of polynomials. Rend. Cir. Mat. Palermo 32(2), (1983), page 157-187.
[9] Szego G. Orthogonal polynomials. Amer. Math Soc. Colloq. Publ. 23, Fourth edition, amer, math, soc, Providence, Rhode Island (1975).

Citation :

F.Y.Ayant, "On some multidimensional integral transforms of multivariable Aleph-function III," International Journal of Mathematics Trends and Technology (IJMTT), vol. 37, no. 3, pp. 166-174, 2016. Crossref, https://doi.org/10.14445/22315373/IJMTT-V37P522