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On some new type of generating functions of generalized Poisson-Charlier polynomials. (English) Zbl 1512.33013

M. A. Khan and S. Ahmed [Math. Sci. Res. J. 15, No. 5, 127–136 (2011; Zbl 1231.33012)] have introduced and studied certain generalizations of the classical Poisson-Charlier polynomials. In the paper under review, the authors define a new generalization of these polynomials and deduce generating functions , as well as summation formulae for them. They consider also a two-variable extension of the generalized Poisson-Charlier polynomials, and study some special cases.

MSC:

33C47 Other special orthogonal polynomials and functions
33C50 Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable

Citations:

Zbl 1231.33012
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References:

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