Inequalities for the gamma function with applications to permanents

DOI10.1016/0012-365X(94)00340-OzbMath0863.33001OpenAlexW2008574866MaRDI QIDQ1918538

Uwe T. Zimmermann, Peter J. Grabner, Robert F. Tichy

Publication date: 10 June 1997

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0012-365x(94)00340-o

zbMATH Keywords

permanentsgamma-functionBohr-Mollerup-theorem

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Gamma, beta and polygamma functions (33B15)

Related Items (11)

Comparison of permanental bounds of \((0,1)\)-matrices ⋮ Some inequalities for the gamma function ⋮ INEQUALITIES AND COMPLETE MONOTONICITY FOR THE GAMMA AND RELATED FUNCTIONS ⋮ New permanental bounds for Ferrers matrices ⋮ Inequalities for the gamma and polygamma functions ⋮ Inequalities for Euler's gamma function ⋮ Inequalities for the Gamma function and estimates for the volume of sections of $B^n_p$ ⋮ Graphs with the maximum or minimum number of 1-factors ⋮ The number of tournaments with the minimum number of upsets ⋮ Inequalities for the volume of the unit ball in \(\mathbb{R}^n\) ⋮ On Minc's sixth Conjecture

Cites Work

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• Matching theory
• Maximum permanents of matrices of zeros and ones
• A short proof of Minc's conjecture
• Fast algorithms for the maximum convolution problem
• An inequality for permanent of (0, 1)-matrices

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