Generating Functions for Ultraspherical Functions

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1968 English Publisher:Canadian Mathematical SocietyJournal:Canadian Journal of Mathematics, volume 20, pages 120-134 (issn: 0008-414X, eissn: 1496-4279,

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Authors: Viswanathan, B.;

doi: 10.4153/cjm-1968-014-4

Generating Functions for Ultraspherical Functions

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Abstract

The ultraspherical function1.1for |1 — x| < 2 is a solution of the differential equation1.2This equation has two independent solutions; of the two, only Pn(λ)(x) is analytic at x = 1, aside for some special values of λ, which we shall not consider.

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University of New Brunswick
Canada

Keywords

special functions

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