- Charlier polynomials
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In mathematics, Charlier polynomials (also called Poisson–Charlier polynomials) are a family of orthogonal polynomials introduced by Carl Charlier. They are given in terms of the generalized hypergeometric function by
where L are Laguerre polynomials. They satisfy the orthogonality relation
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See also
- Wilson polynomials, a generalization of Charlier polynomials.
References
- C. V. L. Charlier (1905–1906) Uber die Darstellung willkurlicher Funktionen, Ark. Mat. Astr. och Fysic 2 , 20.
- Koornwinder, Tom H.; Wong, Roderick S. C.; Koekoek, Roelof; Swarttouw, René F. (2010), "Hahn Class: Definitions", in Olver, Frank W. J.; Lozier, Daniel M.; Boisvert, Ronald F. et al., NIST Handbook of Mathematical Functions, Cambridge University Press, ISBN 978-0521192255, MR2723248, http://dlmf.nist.gov/18.19
- Szego, Gabor (1939), Orthogonal Polynomials, Colloquium Publications - American Mathematical Society, ISBN 978-0-8218-1023-1, MR0372517
Categories:- Orthogonal polynomials
- Mathematics stubs
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