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A Relation Between Ultrasphericaland Jacobi Polynomial Sets

Published online by Cambridge University Press:  20 November 2018

Fred Brafman
Fred Brafman*
Affiliation:
Wayne University
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The Jacobi polynomials may be defined by

where (a)n = a (a + 1) … (a + n — 1). Putting β = αgives the ultraspherical polynomials which have as a special case the Legendre polynomials .

Information

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 5 , 1953 , pp. 301 - 305
Copyright
Copyright © Canadian Mathematical Society 1953