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: | , |
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| Lenguaje: | English |
| Publicado: |
Universidad Católica del Norte, Departamento de Matemáticas
2014
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| Materias: | |
| Acceso en línea: | http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172014000200001 |
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| Sumario: | 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. |
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