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A note on a polynomial set generated by G(2xt-t2) for the choice G(u)= oF1(--; a; u)

The present paper is a study of a class of polynomial set defined by means of a generating function of the form G(2xt- t²) for the choice G(u) = 0 F1(--;α;u). The paper contains some interesting results in the form of recurrence relations, generating functions, finite series of product of polynomials, hypergeometric form, relationship with Shively 's pseudo Laguerre and other polynomials, integral representation, fractional integral and Laplace transform of the polynomial.

Identiferoai:union.ndltd.org:PUCP/oai:tesis.pucp.edu.pe:123456789/97085
Date25 September 2017
CreatorsAhmad Khan, Mumtaz
PublisherPontificia Universidad Católica del Perú
Source SetsPontificia Universidad Católica del Perú
LanguageEspañol
Detected LanguageEnglish
TypeArtículo
FormatPDF
SourcePro Mathematica; Vol. 15, Núm. 29-30 (2001); 5-20
RightsArtículo en acceso abierto, Attribution 4.0 International, https://creativecommons.org/licenses/by/4.0/

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