Canonical products of small order and related Pick functions
نویسندگان
چکیده
منابع مشابه
Pick functions related to the Gamma function
has attracted the attention of several authors. In [1], Anderson and Qiu showed that f increases on the interval [1,∞[ and they conjectured that f is concave on the interval [1,∞[. The concavity of f on [1,∞[ was established by Elbert and Laforgia ([3]). At the Fifth International Symposium on Orthogonal Polynomials, Special Functions and Applications held in Patras in September 1999, D. Dimitr...
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Canonical partition functions for parastatistical systems of any order.
A general formula for the canonical partition function for a system obeying any statistics based on the permutation group is derived. The formula expresses the canonical partition function in terms of sums of Schur functions. (1990)] for parasystems of order two is shown to arise as a special case of our general formula. Our results also yield all the relevant information about the structure of...
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ژورنال
عنوان ژورنال: Journal of Computational and Applied Mathematics
سال: 2005
ISSN: 0377-0427
DOI: 10.1016/j.cam.2004.05.011