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Jack polynomials and some identities for partitions
Author(s):
Michel
Lassalle
Journal:
Trans. Amer. Math. Soc.
356
(2004),
3455-3476.
MSC (2000):
Primary 05A10, 05A17, 05E05, 33C52, 33C80
Posted:
April 16, 2004
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Abstract:
We prove an identity about partitions involving new combinatorial coefficients. The proof given is using a generating function. As an application we obtain the explicit expression of two shifted symmetric functions, related with Jack polynomials. These quantities are the moments of the `` -content'' random variable with respect to some transition probability distributions.
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Additional Information:
Michel
Lassalle
Affiliation:
Centre National de la Recherche Scientifique, Institut Gaspard Monge, Université de Marne-la-Vallée, 77454 Marne-la-Vallée Cedex, France
Email:
lassalle@univ-mlv.fr
DOI:
10.1090/S0002-9947-04-03500-7
PII:
S 0002-9947(04)03500-7
Keywords:
Partitions,
(shifted) symmetric functions,
(shifted) Jack polynomials,
transition probabilities
Received by editor(s):
February 2, 2003
Posted:
April 16, 2004
Copyright of article:
Copyright
2004,
American Mathematical Society
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