Completely monotonic degrees for a difference between the logarithmic and psi functions
From MaRDI portal
Publication:2315850
DOI10.1016/j.cam.2019.05.001zbMath1482.26016OpenAlexW2899309921WikidataQ127904037 ScholiaQ127904037MaRDI QIDQ2315850
Publication date: 26 July 2019
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2019.05.001
Related Items (15)
Convexity and inequalities related to extended beta and confluent hypergeometric functions ⋮ Completely monotonic degree of a function involving trigamma and tetragamma functions ⋮ Completely monotonic integer degrees for a class of special functions ⋮ Monotonicity and inequalities related to complete elliptic integrals of the second kind ⋮ Complete monotonicity for a new ratio of finitely many gamma functions ⋮ Complete monotonicity and inequalities involving the \(k\)-gamma and \(k\)-polygamma functions ⋮ 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 ⋮ Some monotonicity properties on \(k\)-gamma function and related inequalities ⋮ Necessary and sufficient conditions for complete monotonicity and monotonicity of two functions defined by two derivatives of a function involving trigamma function ⋮ Qi's conjectures on completely monotonic degrees of remainders of asymptotic formulas of di- and trigamma functions ⋮ Decreasing properties of two ratios defined by three and four polygamma functions ⋮ Monotonicity properties for a ratio of finite many gamma functions ⋮ New properties for the Ramanujan \(R\)-function ⋮ Bounds for completely monotonic degrees of remainders in asymptotic expansions of the digamma function
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A completely monotonic function involving the tri-gamma function and with degree one
- Absolutely monotonic functions related to Euler's gamma function and Barnes' double and triple gamma function
- Two closed forms for the Bernoulli polynomials
- A simple proof of logarithmic convexity of extended mean values
- Remarks on some completely monotonic functions
- Properties and applications of a function involving exponential functions
- Completely monotonic functions of positive order and asymptotic expansions of the logarithm of Barnes double gamma function and Euler's gamma function
- Integral representations of bivariate complex geometric mean and their applications
- The harmonic and geometric means are Bernstein functions
- On complete monotonicity for several classes of functions related to ratios of gamma functions
- Lévy-Khintchine representations of the weighted geometric mean and the logarithmic mean
- Some completely monotonic functions involving polygamma functions and an application
- Properties of modified Bessel functions and completely monotonic degrees of differences between exponential and trigamma functions
- Monotonicity of some functions involving the gamma and psi functions
- TWO NEW PROOFS OF THE COMPLETE MONOTONICITY OF A FUNCTION INVOLVING THE PSI FUNCTION
- Some completely monotonic functions of positive order
- Very accurate estimates of the polygamma functions
- Lévy-Khintchine representation of Toader-Qi mean
- Some properties of the gamma and psi functions, with applications
- The function (bx−ax)/x: Logarithmic convexity and applications to extended mean values
- Complete monotonicity and related properties of some special functions
- Sharp Inequalities for Polygamma Functions
- Integral representations and properties of some functions involving the logarithmic function
- The reciprocal of the weighted geometric mean of many positive numbers is a Stieltjes function
- On some inequalities for the gamma and psi functions
- Some properties of functions related to the gamma and psi functions
- Bernstein functions. Theory and applications
This page was built for publication: Completely monotonic degrees for a difference between the logarithmic and psi functions