Monotonicity properties related to the ratio of two gamma functions
From MaRDI portal
Publication:2026818
DOI10.1007/S00009-021-01765-XzbMath1468.33003arXiv2104.01880OpenAlexW3156755958MaRDI QIDQ2026818
Publication date: 20 May 2021
Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2104.01880
Bernoulli and Euler numbers and polynomials (11B68) Gamma, beta and polygamma functions (33B15) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Inequalities for sums, series and integrals (26D15) Monotonic functions, generalizations (26A48)
Cites Work
- Completely monotonic functions and inequalities associated to some ratio of gamma function
- Bernoulli polynomials and asymptotic expansions of the quotient of gamma functions
- Remarks on some completely monotonic functions
- Inequalities, asymptotic expansions and completely monotonic functions related to the gamma function
- Bounds for the ratio of two gamma functions
- Inequalities and completely monotonic functions associated with the ratios of functions resulting from the gamma function
- A complete monotonicity property of the gamma function
- Series representations of the remainders in the expansions for certain functions with applications
- The asymptotic expansion of a ratio of gamma functions
- Error Bounds for Asymptotic Expansions of the Ratio of Two Gamma Functions
- Monotonicity of some functions involving the gamma and psi functions
- On Gamma Function Inequalities
- Error Bounds for the Asymptotic Expansion of the Ratio of Two Gamma Functions with Complex Argument
- The best bounds in Wallis’ inequality
- Turán type inequalities for the partial sums of the generating functions of Bernoulli and Euler numbers
- A Note on the Asymptotic Expansion of a Ratio of Gamma Functions
- On some inequalities for the gamma and psi functions
This page was built for publication: Monotonicity properties related to the ratio of two gamma functions