On generating functions of biorthogonal polynomials suggested by the Laguerre polynomials

In this note, we have obtained some novel bilateral generating functions involving Konhauser biorthogonal polynomials, <img width=78 height=27 src="http:/fbpe/img/proy/v33n2/form1.1.jpg">which is converted into trilateral generating functions with Tchebycheff polynomials by group the...

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Autores principales: Samanta,K. P., Chongdar,A. K.
Lenguaje:English
Publicado: Universidad Católica del Norte, Departamento de Matemáticas 2014
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Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172014000200001
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spelling oai:scielo:S0716-091720140002000012018-10-30On generating functions of biorthogonal polynomials suggested by the Laguerre polynomialsSamanta,K. P.Chongdar,A. K. Laguerre polynomials biorthogonal polynomials generating In this note, we have obtained some novel bilateral generating functions involving Konhauser biorthogonal polynomials, <img width=78 height=27 src="http:/fbpe/img/proy/v33n2/form1.1.jpg">which is converted into trilateral generating functions with Tchebycheff polynomials by group theoretic method. As special cases, we have obtained the corresponding results on generalised Laguerre polynomials. Some applications are also given here.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.33 n.2 20142014-06-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172014000200001en10.4067/S0716-09172014000200001
institution Scielo Chile
collection Scielo Chile
language English
topic Laguerre polynomials
biorthogonal polynomials
generating
spellingShingle Laguerre polynomials
biorthogonal polynomials
generating
Samanta,K. P.
Chongdar,A. K.
On generating functions of biorthogonal polynomials suggested by the Laguerre polynomials
description In this note, we have obtained some novel bilateral generating functions involving Konhauser biorthogonal polynomials, <img width=78 height=27 src="http:/fbpe/img/proy/v33n2/form1.1.jpg">which is converted into trilateral generating functions with Tchebycheff polynomials by group theoretic method. As special cases, we have obtained the corresponding results on generalised Laguerre polynomials. Some applications are also given here.
author Samanta,K. P.
Chongdar,A. K.
author_facet Samanta,K. P.
Chongdar,A. K.
author_sort Samanta,K. P.
title On generating functions of biorthogonal polynomials suggested by the Laguerre polynomials
title_short On generating functions of biorthogonal polynomials suggested by the Laguerre polynomials
title_full On generating functions of biorthogonal polynomials suggested by the Laguerre polynomials
title_fullStr On generating functions of biorthogonal polynomials suggested by the Laguerre polynomials
title_full_unstemmed On generating functions of biorthogonal polynomials suggested by the Laguerre polynomials
title_sort on generating functions of biorthogonal polynomials suggested by the laguerre polynomials
publisher Universidad Católica del Norte, Departamento de Matemáticas
publishDate 2014
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172014000200001
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