International Journal of Mathematics Trends and Technology
Volume 53 | Number 1 | Year 2018 | Article Id. IJMTT-V53P507 | DOI : https://doi.org/10.14445/22315373/IJMTT-V53P507
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.
[1] Marichev O.I. Prudnikov A.P. And Brychkow Y.A. Elementay functions. Integrals and series Vol 1. USSR Academy of sciences . Moscow 1986.
[2] Y.N. Prasad , Multivariable I-function , Vijnana Parishad Anusandhan Patrika 29 ( 1986 ) , page 231-237.
[3] Rhodes D.R. On the spheroidal functions. J. Res. Nat. Bur. Standards. Sect. B 74(1970), page187-209.
[4] Srivastava H.M. A multilinear generating function for the Konhauser set of biorthogonal polynomials suggested by Laguerre polynomial, Pacific. J. Math. 177(1985), page183-191.
[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.
[6] Stratton J.A. And Chu L.J. Elliptic and spheroidal wave function J. Math. And Phys. 20 (1941), page 259-309.
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
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