Log-convexity properties of Schur functions and generalized hypergeometric functions of matrix argument

被引：0

作者：

Donald St. P. Richards

机构：

[1] Penn State University,Department of Statistics

来源：

The Ramanujan Journal | 2010年 / 23卷

关键词：

Finite distributive lattice; FKG inequality; Generalized hypergeometric function of matrix argument; Log-supermodular; Monomial-positivity; Partition; Multivariate total positivity; Schur function; Schur-positivity; Sylvester’s formula; Symmetric function; Young tableaux; Zonal polynomial; 05E05; 33C67; 05A17; 15A15; 60E15;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We establish a positivity property for the difference of products of certain Schur functions, sλ(x), where λ varies over a fundamental Weyl chamber in ℝn and x belongs to the positive orthant in ℝn. Further, we generalize that result to the difference of certain products of arbitrary numbers of Schur functions. We also derive a log-convexity property of the generalized hypergeometric functions of two Hermitian matrix arguments, and we show how that result may be extended to derive higher-order log-convexity properties.

引用

页码：397 / 407

页数：10

共 23 条

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