Some logarithmically completely monotonic functions and inequalities for multinomial coefficients and multivariate beta functions

DOI10.2298/AADM191111033QzbMath1499.26026OpenAlexW2808431411MaRDI QIDQ5028792

Bai-Ni Guo, Dongkyu Lim, Da-Wei Niu, Feng Qi

Publication date: 10 February 2022

Published in: Applicable Analysis and Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/aadm191111033q

zbMATH Keywords

gamma functionmultivariate beta functioninequalitycompletely monotonic functionmultinomial coefficientlogarithmically complete monotonicityBernoulli trialbinomial probability

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Combinatorial probability (60C05) Combinatorial inequalities (05A20) Laplace transform (44A10) Monotonic functions, generalizations (26A48) Inequalities involving other types of functions (26D07)

Related Items (9)

Complete monotonicity for a new ratio of finitely many gamma functions ⋮ Decreasing property and complete monotonicity of two functions constituted via three derivatives of a function involving trigamma function ⋮ A combinatorial proof of the Gaussian product inequality beyond the \(\mathrm{MTP}_2\) case ⋮ Logarithmically complete monotonicity of a matrix-parametrized analogue of the multinomial distribution ⋮ Monotonicity, convexity, and inequalities for functions involving gamma function ⋮ Miscellaneous results related to the Gaussian product inequality conjecture for the joint distribution of traces of Wishart matrices ⋮ Necessary and sufficient conditions for a difference constituted by four derivatives of a function involving trigamma function to be completely monotonic ⋮ A ratio of finitely many gamma functions and its properties with applications ⋮ Logarithmic convexity and increasing property of the Bernoulli numbers and their ratios

Uses Software

• DLMF

Cites Work

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