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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 33 | Number 3 | Year 2016 | Article Id. IJMTT-V33P530 | DOI : https://doi.org/10.14445/22315373/IJMTT-V33P530

On some multidimensional integral transforms of multivariable Aleph-function II


Frédéric Ayant
Abstract

The first integral evaluated here involve the exponential function, the product of two general polynomials . These integral is unified, useful and most general in nature. She is capable of yielding a large number of integrals and double Laplace transforms as their special cases. The second integral valuated here involve the exponential function, the product of two general polynomials and the Aleph-function of two variables. The third integral is a multivariable analogue of the second integral and is believed to be one of the most general integrals evaluated so far.

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

[1] Gradshteyn I.S and Ryzhik I.N. Tables of integrals, series and products, Fourth ed. Academic. Press. New York (1965)
[2] Sharma C.K.and Ahmad S.S.: On the multivariable I-function. Acta ciencia Indica Math , 1994 vol 20,no2, p 113- 116.
[3] 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.
[4] Srivastava H.M., A contour integral involving Fox's H-function. Indian J.Math. 14(1972), page1-6.
[5] Srivastava H.M. A multilinear generating function for the Konhauser set of biorthogonal polynomials suggested by Laguerre polynomial, Pacific. J. Math. Vol 77(1985), page183-191.
[6] Widder D. Advanced calculus. Prentice Hall (1989)

Citation :

Frédéric Ayant, "On some multidimensional integral transforms of multivariable Aleph-function II," International Journal of Mathematics Trends and Technology (IJMTT), vol. 33, no. 3, pp. 221-226, 2016. Crossref, https://doi.org/10.14445/22315373/IJMTT-V33P530

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