Complete monotonicity for inverse powers of some combinatorially defined polynomials

DOI10.1007/s11511-014-0121-6zbMath1304.05074arXiv1301.2449OpenAlexW3101233038WikidataQ56892981 ScholiaQ56892981MaRDI QIDQ483372

Alan D. Sokal, Alexander D. Scott

Publication date: 17 December 2014

Published in: Acta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1301.2449

zbMATH Keywords

Laplace transformquadratic formpositivityharmonic analysiselementary symmetric polynomialdeterminantsymmetric conefractional powerEuclidean Jordan algebracomplete monotonicitymatrix-tree theorembasis-generating polynomialBernstein-Hausdorff-Widder theoremGindikin-Wallach sethalf-plane propertyHurwitz stabilityinverse powerRayleigh propertyspanning-tree polynomial

Mathematics Subject Classification ID

Graph polynomials (05C31) Exact enumeration problems, generating functions (05A15) Determinants, permanents, traces, other special matrix functions (15A15) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Combinatorial inequalities (05A20) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Hermitian, skew-Hermitian, and related matrices (15B57) Combinatorial aspects of matroids and geometric lattices (05B35) Monotonic functions, generalizations (26A48) Convexity of real functions of several variables, generalizations (26B25) Real polynomials: analytic properties, etc. (26C05)

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