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1. On some generalized Sister Celine’s polynomials

Creator:
Khan, Mumtaz Ahmad and Shukla, Ajay Kumar
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
ultraspherical type generalization of Bateman’s polynomials, ultraspherical type generalization of Pasternak’s polynomials, Jacobi type generalization of Bateman’s polynomials, Jacobi type generalization of Pasternak’s polynomials, Sister Celine’s polynomial, Hahn polynomial, generalized Hermite polynomial, Krawtchouk’s polynomial, Meixner’s polynomial, Charlier polynomial, Sylvester’s polynomial, Gottlieb’s polynomial, Konhauser’s polynomial, generating functions, and integral relations
Language:
English
Description:
Certain generalizations of Sister Celine’s polynomials are given which include most of the known polynomials as their special cases. Besides, generating functions and integral representations of these generalized polynomials are derived and a relation between generalized Laguerre polynomials and generalized Bateman’s polynomials is established.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public