On generating functions of modified Bessel polynomials by Weisner's group theoretic method

• Autores: A.K. Chongdar, S. Alam
• Localización: Revista de la Academia Canaria de Ciencias: = Folia Canariensis Academiae Scientiarum, ISSN 1130-4723, Vol. 18, Nº. 1-2, 2006, págs. 79-90
• Idioma: inglés
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• Resumen

  • In this article we have obtained sorne generating functions of modified Bessel polynomials following Weisner's group-theoretic method by giving suitable interpretation to the index of the polynomial under consideration.

    Moreover, we have shown that the results obtained by double interpretations to the index and the parameter while applying Weisner's group theoritic method in the study of Bessel polynomials may be obtained by single interpretation to the index while investigating - a modified form of the polynomial under consideration.

    Finally, we have obtained two general theorems - one on bilateral and the rest on trilateral generating functions by the application of our results.