International Journal of Mathematics Trends and Technology
Volume 45 | Number 2 | Year 2017 | Article Id. IJMTT-V45P519 | DOI : https://doi.org/10.14445/22315373/IJMTT-V45P519
In the present paper we evaluate a finite integral with four parameters involving the product of the spheroidal function, multivariable Aleph-functions and general class of polynomials of several variables. 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] Rhodes D.R. On the spheroidal functions. J. Res. Nat. Bur. Standards. Sect. B 74(1970), page187-209.
[3] Sharma C.K.and Ahmad S.S.: On the multivariable I-function. Acta ciencia Indica Math , 1994 vol 20,no2, p 113- 116.
[4] 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.
[5] 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.
[6] 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.
[7] Stratton J.A. And Chu L.J. Elliptic and spheroidal wave function J. Math. And Phys. 20 (1941), page 259-309. Personal adress : 411 Avenue Joseph Raynaud Le parc.
F.Y.Ayant, "Finite integral involving the spheroidal function, a class of polynomials and multivariable Aleph-functions I," International Journal of Mathematics Trends and Technology (IJMTT), vol. 45, no. 2, pp. 128-137, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V45P519
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