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Displaying similar documents to “Some generating functions for polynomials”

Generating functions on extended Jacobi polynomials from Lie group view point.

Manik Chandra Mukherjee (1996)

Publicacions Matemàtiques

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Generating functions play a large role in the study of special functions. The present paper deals with the derivation of some novel generating functions of extended Jacobi polynomials by the application of [the] group-theoretic method introduced by Louis Weisner. In fact, by suitably interpreting the index (n) and the parameter (β) of the polynomial under consideration we define four linear partial differential operators and on showing that they generate a Lie-algebra, we obtain a new...