A generalization of Gegenbauer and Laguerre polynomials
Henry, M.S., Huffstutler, R.G., Stein, F. Max (1967)
Portugaliae mathematica
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A generalization of Gegenbauer and Laguerre polynomials
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Generating functions on extended Jacobi polynomials from Lie group view point.
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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...