Generating Functions for Ultraspherical Functions
- 1 January 1968
- journal article
- Published by Canadian Mathematical Society in Canadian Journal of Mathematics
- Vol. 20, 120-134
- https://doi.org/10.4153/cjm-1968-014-4
Abstract
The ultraspherical function 1.1 for |1 — x| < 2 is a solution of the differential equation 1.2 This 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.Keywords
This publication has 1 reference indexed in Scilit:
- Generating Functions of Jacobi and Related PolynomialsProceedings of the American Mathematical Society, 1951