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On some generalized Sister Celine's polynomials

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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.

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Authors and Affiliations

  1. Dept. of Applied Mathematics, Faculty of Engineering, A.M.U., Aligarh-, 202002, U.P., India

    Mumtaz Ahmad Khan & Ajay Kumar Shukla

Authors
  1. Mumtaz Ahmad Khan
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  2. Ajay Kumar Shukla
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Khan, M.A., Shukla, A.K. On some generalized Sister Celine's polynomials. Czechoslovak Mathematical Journal 49, 527–545 (1999). https://doi.org/10.1023/A:1022419302379

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  • DOI: https://doi.org/10.1023/A:1022419302379

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