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

Description

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.

Links & Downloads

1. http://revistas.pucp.edu.pe/index.php/promathematica/article/view/8164/8459
2. http://repositorio.pucp.edu.pe/index/handle/123456789/97085

Tags

Polinomios

Transformadas de Laplace

Matemáticas

Additional Fields

Identifer	oai:union.ndltd.org:PUCP/oai:tesis.pucp.edu.pe:123456789/97085
Date	25 September 2017
Creators	Ahmad Khan, Mumtaz
Publisher	Pontificia Universidad Católica del Perú
Source Sets	Pontificia Universidad Católica del Perú
Language	Español
Detected Language	English
Type	Artículo
Format	PDF
Source	Pro Mathematica; Vol. 15, Núm. 29-30 (2001); 5-20
Rights	Artículo en acceso abierto, Attribution 4.0 International, https://creativecommons.org/licenses/by/4.0/