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JACK POLYNOMIALS AND SOME IDENTITIES FOR PARTITIONS
"... 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 “α ..."
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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 “αcontent” random variable with respect to some transition probability distributions. 1.
Class expansion of some symmetric functions
 in JucysMurphy elements, Arxiv preprint arXiv:1005.2346 (2010), URL http://arxiv.org/abs
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Two new families of qpositive integers
, 2004
"... Abstract. Let n, p, k be three positive integers. We prove that the rational fractions of q: 1−k −p p−n q, q, q q, q1−n] q; qk+1 and q ∣ (n−p)p 1−k −p p−n n q, q, q 3φ2 k q, q1−n] q; q ..."
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Abstract. Let n, p, k be three positive integers. We prove that the rational fractions of q: 1−k −p p−n q, q, q q, q1−n] q; qk+1 and q ∣ (n−p)p 1−k −p p−n n q, q, q 3φ2 k q, q1−n] q; q
unknown title
, 707
"... An explicit formula for the characters of the symmetric group ..."
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