The Function (b x − a x )∕x: Ratio’s Properties

DOI10.1007/978-1-4939-0258-3_16zbMath1329.26006arXiv0904.1115OpenAlexW1652477972MaRDI QIDQ3193155

Qiu-Ming Luo, Feng Qi, Bai-Ni Guo

Publication date: 15 October 2015

Published in: Analytic Number Theory, Approximation Theory, and Special Functions (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0904.1115

Mathematics Subject Classification ID

Elementary functions (26A09)

Related Items (8)

The harmonic and geometric means are Bernstein functions ⋮ On complete monotonicity of linear combination of finite psi functions ⋮ A LOGARITHMICALLY COMPLETELY MONOTONIC FUNCTION INVOLVING THE RATIO OF GAMMA FUNCTIONS ⋮ Integral representations and complete monotonicity of remainders of the binet and Stirling formulas for the gamma function ⋮ Completely monotonic ratios of basic and ordinary gamma functions ⋮ Two closed forms for the Bernoulli polynomials ⋮ On complete monotonicity for several classes of functions related to ratios of gamma functions ⋮ An integral representation, complete monotonicity, and inequalities of the Catalan numbers

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