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

DOI10.1007/s11139-010-9239-0zbMath1233.05206OpenAlexW2145997509MaRDI QIDQ618863

Donald St. P. Richards

Publication date: 17 January 2011

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.598.1011

zbMATH Keywords

partitiongeneralized hypergeometric function of matrix argumentsymmetric functionYoung tableauxfinite distributive latticeFKG inequalitySchur functionzonal polynomialSchur-positivitylog-supermodularmonomial-positivitymultivariate total positivitySylvester's formula

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Combinatorial aspects of partitions of integers (05A17) Symmetric functions and generalizations (05E05) Determinants, permanents, traces, other special matrix functions (15A15) Hypergeometric functions associated with root systems (33C67)

Related Items (4)

The holonomic gradient method for the distribution function of the largest root of a Wishart matrix ⋮ Multivariate correlation inequalities for \(P\)-partitions ⋮ On Hodge-Riemann cohomology classes ⋮ On the sign patterns of entrywise positivity preservers in fixed dimension

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