Hostname: page-component-77c89778f8-swr86 Total loading time: 0 Render date: 2024-07-19T09:43:50.133Z Has data issue: false hasContentIssue false
  • English
  • Français

A Relation Between Ultrasphericaland Jacobi Polynomial Sets

Published online by Cambridge University Press:  20 November 2018

Fred Brafman
Fred Brafman*
Affiliation:
Wayne University
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

The Jacobi polynomials may be defined by

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

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