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Generating Functions for Ultraspherical Functions

Published online by Cambridge University Press:  20 November 2018

B. Viswanathan
B. Viswanathan*
Affiliation:
University of New Brunswick, Fredericton, N.B.
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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.

Information

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 20 , 1968, pp. 120 - 134
Copyright
Copyright © Canadian Mathematical Society 1968

Footnotes

This paper is a condensation of a doctoral dissertation submitted at the University of New Brunswick in May 1965.

References

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