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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Polynômes de Jacobi, interprétation combinatoire et fonction génératrice


Authors: Dominique Foata and Pierre Leroux
Journal: Proc. Amer. Math. Soc. 87 (1983), 47-53
MSC: Primary 33A65; Secondary 05A15
MathSciNet review: 677229
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Abstract: This classical generating function for the Jacobi polynomials is derived by purely combinatorial methods.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1983-0677229-0
PII: S 0002-9939(1983)0677229-0
Keywords: Jacobi polynomials, generating functions, endofunctions, arborescences = rooted trees, Catalan numbers
Article copyright: © Copyright 1983 American Mathematical Society