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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Universidad Católica del Norte, Departamento de Matemáticas
2014
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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 |
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Scielo Chile |
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Scielo Chile |
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English |
topic |
Laguerre polynomials biorthogonal polynomials generating |
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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 |
work_keys_str_mv |
AT samantakp ongeneratingfunctionsofbiorthogonalpolynomialssuggestedbythelaguerrepolynomials AT chongdarak ongeneratingfunctionsofbiorthogonalpolynomialssuggestedbythelaguerrepolynomials |
_version_ |
1718439796492206080 |