Journal
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
Volume 356, Issue 9, Pages 3455-3476Publisher
AMER MATHEMATICAL SOC
DOI: 10.1090/S0002-9947-04-03500-7
Keywords
partitions; (shifted) symmetric functions; (shifted) Jack polynomials; transition probabilities
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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 alpha-content random variable with respect to some transition probability distributions.
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