Monotonicity properties for a ratio of finite many gamma functions

DOI10.1186/s13662-020-02655-4zbMath1482.33001OpenAlexW3023420577WikidataQ94561748 ScholiaQ94561748MaRDI QIDQ2078141

Dongkyu Lim, Feng Qi

Publication date: 25 February 2022

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-020-02655-4

zbMATH Keywords

Bernstein functiongamma functions

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Gamma, beta and polygamma functions (33B15) Convexity of real functions in one variable, generalizations (26A51) Monotonic functions, generalizations (26A48)

Related Items (8)

Complete monotonicity for a new ratio of finitely many gamma functions ⋮ Logarithmically complete monotonicity of a matrix-parametrized analogue of the multinomial distribution ⋮ Monotonicity, convexity, and inequalities for functions involving gamma function ⋮ From inequalities involving exponential functions and sums to logarithmically complete monotonicity of ratios of gamma functions ⋮ A ratio of finitely many gamma functions and its properties with applications ⋮ Logarithmic convexity and increasing property of the Bernoulli numbers and their ratios ⋮ Monotonicity properties for a ratio of finite many gamma functions ⋮ Some logarithmically completely monotonic functions and inequalities for multinomial coefficients and multivariate beta functions

Uses Software

• DLMF

Cites Work

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