Geodesic
On some generalized Sister Celine’s polynomials
Czechoslovak Mathematical Journal, Tome 49 (1999) no. 3, pp. 527-545

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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.
Classification : 33C45
Keywords: 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; integral relations 
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     author = {Khan, Mumtaz Ahmad and Shukla, Ajay Kumar},
     title = {On some generalized {Sister} {Celine{\textquoteright}s} polynomials},
     journal = {Czechoslovak Mathematical Journal},
     pages = {527--545},
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     volume = {49},
     number = {3},
     year = {1999},
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     zbl = {1005.33002},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_1999__49_3_a6/}
}
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Khan, Mumtaz Ahmad; Shukla, Ajay Kumar. On some generalized Sister Celine’s polynomials. Czechoslovak Mathematical Journal, Tome 49 (1999) no. 3, pp. 527-545. http://geodesic.mathdoc.fr/item/CMJ_1999__49_3_a6/