Displaying similar documents to “Note on some characteristic properties of functions of the second kind”

On a generating function of ultraspherical polynomals.

Bibhiti Bhusan Saha (1979)

Revista Matemática Hispanoamericana

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S. K. Chatterjea has recently proved a class of generating relations involving ultraspherical polynomials from the view point of continuous transformations-groups. The object of the present paper is to point out that this class of generating relations implies the explicit representation, the addition and the multiplication formulas, in addition to the usual generating relation for the ultraspherical 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...