On the Poisson-Charlier Polynomials

Özmen, Nejla; Erkuş-Duman, Esra

Serdica Mathematical Journal (2015)

  • Volume: 41, Issue: 4, page 457-470
  • ISSN: 1310-6600

Abstract

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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.

How to cite

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Özmen, Nejla, and Erkuş-Duman, Esra. "On the Poisson-Charlier Polynomials." Serdica Mathematical Journal 41.4 (2015): 457-470. <http://eudml.org/doc/295047>.

@article{Özmen2015,
abstract = {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.},
author = {Özmen, Nejla, Erkuş-Duman, Esra},
journal = {Serdica Mathematical Journal},
keywords = {Poisson-Charlier polynomials; recurrence relation; generating function; hypergeometric function; Lauricella functions},
language = {eng},
number = {4},
pages = {457-470},
publisher = {Institute of Mathematics and Informatics at the Bulgarian Academy of Sciences},
title = {On the Poisson-Charlier Polynomials},
url = {http://eudml.org/doc/295047},
volume = {41},
year = {2015},
}

TY - JOUR
AU - Özmen, Nejla
AU - Erkuş-Duman, Esra
TI - On the Poisson-Charlier Polynomials
JO - Serdica Mathematical Journal
PY - 2015
PB - Institute of Mathematics and Informatics at the Bulgarian Academy of Sciences
VL - 41
IS - 4
SP - 457
EP - 470
AB - 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.
LA - eng
KW - Poisson-Charlier polynomials; recurrence relation; generating function; hypergeometric function; Lauricella functions
UR - http://eudml.org/doc/295047
ER -

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