Recurrences for families of polynomials

This is a collection of articles, which derive the recurrences holding for some well-known families of polynomials, directly from their definition.

A general theorem: The diagonal power series of a rational power series is differentiably finite.
4 pages.
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The recurrence for the Hermite polynomials.
2 pages.
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The recurrence for the Laguerre polynomials.
3 pages.
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The recurrence for the Legendre polynomials.
3 pages.
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The recurrence for the Tschebychev polynomials.
2 pages.
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Recurrences for polynomials
Bruno Haible <bruno@clisp.org>

Last modified: 20 April 1998.