Infinite integral involving the spheroidal function, a class of polynomials and multivariable I-functions I

F.Y.Ayant

doi:https://doi.org/10.14445/22315373/IJMTT-V53P507

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 53 | Number 1 | Year 2018 | Article Id. IJMTT-V53P507 | DOI : https://doi.org/10.14445/22315373/IJMTT-V53P507

Infinite integral involving the spheroidal function, a class of polynomials and multivariable I-functions I

F.Y.Ayant

Citation :

F.Y.Ayant, "Infinite integral involving the spheroidal function, a class of polynomials and multivariable I-functions I," International Journal of Mathematics Trends and Technology (IJMTT), vol. 53, no. 1, pp. 56-64, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V53P507

Abstract

In the present paper we evaluate a infinite integral involving the product of the spheroidal function, multivariable I-functions defined by Prasad [2] and general class of polynomials with general arguments. The importance of the result established in this paper lies in the fact they involve the Alephfunction of several variables which is sufficiently general in nature and capable to yielding a large of results merely by specializating the parameters their in.

Keywords

Multivariable I-function, general class of polynomials,spheroidal function, multivariable H-function.

References

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[5] 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.
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