Some properties of extended remainder of binet’s first formula for logarithm of gamma function
From MaRDI portal
Publication:3161472
DOI10.2478/s12175-010-0025-7zbMath1240.26019arXiv0904.1118OpenAlexW3104948919MaRDI QIDQ3161472
Publication date: 14 October 2010
Published in: Mathematica Slovaca (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0904.1118
gamma functioninequalitycompletely monotonic functionstar-shaped functionBinet's first formulaextended remaindersub-additive function
Gamma, beta and polygamma functions (33B15) Convexity of real functions in one variable, generalizations (26A51) Monotonic functions, generalizations (26A48)
Related Items
Windschitl type approximation formulas for the gamma function ⋮ Completely monotonic degree of a function involving trigamma and tetragamma functions ⋮ The Function (b x − a x )∕x: Ratio’s Properties ⋮ Integral representations and complete monotonicity related to the remainder of Burnside's formula for the gamma function ⋮ Monotonicity properties on k-digamma function and its related inequalities ⋮ On complete monotonicity of linear combination of finite psi functions ⋮ Some properties of several functions involving polygamma functions and originating from the sectional curvature of the beta manifold ⋮ Complete monotonicity of a function involving the gamma function and applications ⋮ Integral representations and complete monotonicity of remainders of the binet and Stirling formulas for the gamma function ⋮ A class of completely monotonic functions involving the gamma and polygamma functions ⋮ On complete monotonicity for several classes of functions related to ratios of gamma functions
Cites Work
- A simple proof of logarithmic convexity of extended mean values
- A simple proof of monotonicity for extended mean values
- A new proof of monotonicity for extended mean values
- Monotonicity and logarithmic concavity of two functions involving exponential function
- The function (𝑏^{𝑥}-𝑎^{𝑥})/𝑥: Inequalities and properties
