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Math. Comput. Appl. 2005, 10(2), 239-248; doi:10.3390/mca10020239

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

Mathematics Departement, Govt. Girls College, Ratlam (M.P) - 457001, India
Published: 1 August 2005
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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
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

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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.

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