On the Poisson-Charlier Polynomials
Serdica Mathematical Journal, Tome 41 (2015) no. 4, pp. 457-470
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In this paper the Poisson-Charlier polynomials are introduced. Some of their recurrence relations are presented. Various families of bilinear and bilateral generating functions for these polynomials are derived. Furthermore, some special cases of the results are presented in this study. 2010 Mathematics Subject Classification: 33C45.
Keywords:
Poisson-Charlier polynomials, recurrence relation, generating function, hypergeometric function, Lauricella functions
Özmen, Nejla; Erkuş-Duman, Esra. On the Poisson-Charlier Polynomials. Serdica Mathematical Journal, Tome 41 (2015) no. 4, pp. 457-470. http://geodesic.mathdoc.fr/item/SMJ2_2015_41_4_a7/
@article{SMJ2_2015_41_4_a7,
author = {\"Ozmen, Nejla and Erku\c{s}-Duman, Esra},
title = {On the {Poisson-Charlier} {Polynomials}},
journal = {Serdica Mathematical Journal},
pages = {457--470},
year = {2015},
volume = {41},
number = {4},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SMJ2_2015_41_4_a7/}
}