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Article

Evaluation of Certain Class of Eulerian Integrals of Multivariable Sister Celine’s Polynomials

by
HSP Shrivastava
Mathematics Departement, Govt. Girls College, Ratlam (M.P) - 457001, India
Math. Comput. Appl. 2005, 10(2), 239-248; https://doi.org/10.3390/mca10020239
Published: 1 August 2005

Abstract

In this paper, we evaluate a key Eulerian integral involving Sister Celine's polynomials of several complex variables defines by the author. Our general Eulerian intergral formula are shown to provide the key formula from which numerous other potentially useful results involving polynomials such as Jacobi, Laguerre, Hermite, Bessel, Bateman, Rice etc and also discrete polynomials like Hahn, Krawtchouk, Pasternak, Meixner, Poisson-Charlier are derived.
Keywords: Sister Celine's polynomials; Eulerian integrals, Lauricella function; generalized hypergeometric series Sister Celine's polynomials; Eulerian integrals, Lauricella function; generalized hypergeometric series

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MDPI and ACS Style

Shrivastava, H. Evaluation of Certain Class of Eulerian Integrals of Multivariable Sister Celine’s Polynomials. Math. Comput. Appl. 2005, 10, 239-248. https://doi.org/10.3390/mca10020239

AMA Style

Shrivastava H. Evaluation of Certain Class of Eulerian Integrals of Multivariable Sister Celine’s Polynomials. Mathematical and Computational Applications. 2005; 10(2):239-248. https://doi.org/10.3390/mca10020239

Chicago/Turabian Style

Shrivastava, HSP. 2005. "Evaluation of Certain Class of Eulerian Integrals of Multivariable Sister Celine’s Polynomials" Mathematical and Computational Applications 10, no. 2: 239-248. https://doi.org/10.3390/mca10020239

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