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

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 polynomial...

Full description

Bibliographic Details
Main Author: Ahmad Khan, Mumtaz
Format: Others
Language:Español
Published: Pontificia Universidad Católica del Perú 2014
Subjects:
Polinomios
Transformadas de Laplace
Matemáticas
Online Access:http://revistas.pucp.edu.pe/index.php/promathematica/article/view/8164/8459
http://repositorio.pucp.edu.pe/index/handle/123456789/97085
id ndltd-PUCP-oai-tesis.pucp.edu.pe-123456789-97085
record_format oai_dc
spelling ndltd-PUCP-oai-tesis.pucp.edu.pe-123456789-970852018-08-07T16:41:04Z A note on a polynomial set generated by G(2xt-t2) for the choice G(u)= oF1(--; a; u) Ahmad Khan, Mumtaz Polinomios Transformadas de Laplace Matemáticas 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. 2014-02-10 2017-09-25T21:47:07Z 2017-09-25T21:47:07Z Artículo http://revistas.pucp.edu.pe/index.php/promathematica/article/view/8164/8459 http://repositorio.pucp.edu.pe/index/handle/123456789/97085 Español Artículo en acceso abierto Attribution 4.0 International https://creativecommons.org/licenses/by/4.0/ PDF Pontificia Universidad Católica del Perú Pro Mathematica; Vol. 15, Núm. 29-30 (2001); 5-20
collection NDLTD
language Español
format Others
sources NDLTD
topic Polinomios
Transformadas de Laplace
Matemáticas
spellingShingle Polinomios
Transformadas de Laplace
Matemáticas
Ahmad Khan, Mumtaz
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.
author Ahmad Khan, Mumtaz
author_facet Ahmad Khan, Mumtaz
author_sort Ahmad Khan, Mumtaz
title A note on a polynomial set generated by G(2xt-t2) for the choice G(u)= oF1(--; a; u)
title_short A note on a polynomial set generated by G(2xt-t2) for the choice G(u)= oF1(--; a; u)
title_full A note on a polynomial set generated by G(2xt-t2) for the choice G(u)= oF1(--; a; u)
title_fullStr A note on a polynomial set generated by G(2xt-t2) for the choice G(u)= oF1(--; a; u)
title_full_unstemmed A note on a polynomial set generated by G(2xt-t2) for the choice G(u)= oF1(--; a; u)
title_sort note on a polynomial set generated by g(2xt-t2) for the choice g(u)= of1(--; a; u)
publisher Pontificia Universidad Católica del Perú
publishDate 2014
url http://revistas.pucp.edu.pe/index.php/promathematica/article/view/8164/8459
http://repositorio.pucp.edu.pe/index/handle/123456789/97085
work_keys_str_mv AT ahmadkhanmumtaz anoteonapolynomialsetgeneratedbyg2xtt2forthechoiceguof1au
AT ahmadkhanmumtaz noteonapolynomialsetgeneratedbyg2xtt2forthechoiceguof1au
_version_ 1718719845649874944

Similar Items