Some double finite integrals involving the hypergeometric function and
Aleph-function of two variables

F.Y. Ayant

doi:https://doi.org/10.14445/22315373/IJMTT-V32P503

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 32 | Number 1 | Year 2016 | Article Id. IJMTT-V32P503 | DOI : https://doi.org/10.14445/22315373/IJMTT-V32P503

Some double finite integrals involving the hypergeometric function and Aleph-function of two variables

F.Y. Ayant

Abstract

The aim of this document is to evaluate four finite double integrals involving the product of two hypergeometric functions and the Alephfunction of two variables defined by K. Sharma [4]. At the end of this paper , we evaluate one double integral invoving the I-function of two variables defined by C.K Sharma et al [2]

Keywords

Double finite integral , hypergeometric function , Aleph-function of two variables

References

[1] A.K. Ronghe : Double integrals involving H-function of one variable , Vij. Pari. Anu. Patri 28(1) , (1985) page 33-38.
[2] 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.
[3] G.Sharma and A.K. Rathie : Integrals of hypergeometric series , Vij. Pari. Anu. Patri 34(1-2) , (1991) page 26-29.
[4] K. Sharma : on the integral representation and applications of the generalized function of two variables. International Journal of mathematical engineering and Sciences. 2014 , vol 3 , issue 1 page 1-13.

Citation :

F.Y. Ayant, "Some double finite integrals involving the hypergeometric function and Aleph-function of two variables," International Journal of Mathematics Trends and Technology (IJMTT), vol. 32, no. 1, pp. 10-16, 2016. Crossref, https://doi.org/10.14445/22315373/IJMTT-V32P503