Integration of certain products associated with the multivariable Aleph-function and a general class of polynomials of several variables

  IJMTT-book-cover
 
International Journal of Mathematics Trends and Technology (IJMTT)
 
© 2016 by IJMTT Journal
Volume-36 Number-3
Year of Publication : 2016
Authors : F.Y.Ayant
  10.14445/22315373/IJMTT-V36P527

MLA

F.Y.Ayant "Integration of certain products associated with the multivariable Aleph-function and a general class of polynomials of several variables", International Journal of Mathematics Trends and Technology (IJMTT). V36(3)192-201 August 2016. ISSN:2231-5373. www.ijmttjournal.org. Published by Seventh Sense Research Group.

Abstract
In the present document we evaluate two finite integrals involving the product of Aleph-function of one variable, the multivariable Aleph-function and a general class of polynomials of several variables. On account of the most general nature of the functions involved herein a very large number of known and new integrals involved simpler special functions and orthogonal polynomials follow as particular cases of our main integrals.

References
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Keywords
multivariable Aleph-function, Aleph-function, class of multivariable polynomials, hypergeometric function, finite integral,. I-function of several variables, Aleph-function of two variables.