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On some generalized Sister Celine's polynomials |
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| Authors: | Mumtaz Ahmad Khan Ajay Kumar Shukla |
| Affiliation: | (1) Dept. of Applied Mathematics, Faculty of Engineering, A.M.U., Aligarh-, 202002, U.P., India |
| Abstract: | 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. |
| 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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