Bounds for completely monotonic degrees of remainders in asymptotic expansions of the digamma function
type: Item
instance of: scholarly article
title: Bounds for completely monotonic degrees of remainders in asymptotic expansions of the digamma function
zbMATH Open document ID: 1506.33003
author: Mansour Mahmoud
author: Feng Qi
published in: Mathematical Inequalities & Applications
publication date: 2022-02-17T00:00:00Z
full work available at URL: https://arxiv.org/abs/1912.07989
Mathematics Subject Classification ID: 33B15
Mathematics Subject Classification ID: 26A48
Mathematics Subject Classification ID: 41A60
Mathematics Subject Classification ID: 44A10
zbMATH DE Number: 7475816
zbMATH Keywords: completely monotonic degree
zbMATH Keywords: completely monotonic function
zbMATH Keywords: remainder
zbMATH Keywords: asymptotic expansion
zbMATH Keywords: logarithm of the gamma function
zbMATH Keywords: digamma function
zbMATH Keywords: Qi's conjecture
MaRDI profile type: Publication
OpenAlex ID: W4205815213
arXiv ID: 1912.07989
cites work: Q3331506
cites work: On some inequalities for the gamma and psi functions
cites work: Q4222737
cites work: Q3995284
cites work: Some properties of functions related to the gamma and psi functions
cites work: Table of integrals, series, and products. Translated from the Russian. Translation edited and with a preface by Victor Moll and Daniel Zwillinger
cites work: A completely monotonic function involving the tri-gamma function and with degree one
cites work: Explicit formulae for computing Euler polynomials in terms of Stirling numbers of the second kind
cites work: Some identities and an explicit formula for Bernoulli and Stirling numbers
cites work: TWO NEW PROOFS OF THE COMPLETE MONOTONICITY OF A FUNCTION INVOLVING THE PSI FUNCTION
cites work: Sharp Inequalities for Polygamma Functions
cites work: Monotonicity of some functions involving the gamma and psi functions
cites work: Remarks on some completely monotonic functions
cites work: Some completely monotonic functions of positive order
cites work: Complete monotonicity and related properties of some special functions
cites work: Absolutely monotonic functions related to Euler's gamma function and Barnes' double and triple gamma function
cites work: Completely monotonic functions of positive order and asymptotic expansions of the logarithm of Barnes double gamma function and Euler's gamma function
cites work: Q5518575
cites work: Very accurate estimates of the polygamma functions
cites work: Q3579593
cites work: A double inequality for the ratio of two non-zero neighbouring Bernoulli numbers
cites work: Completely monotonic degree of a function involving trigamma and tetragamma functions
cites work: Limit formulas for ratios between derivatives of the gamma and digamma functions at their singularities
cites work: On complete monotonicity for several classes of functions related to ratios of gamma functions
cites work: Two closed forms for the Bernoulli polynomials
cites work: Integral representations and properties of some functions involving the logarithmic function
cites work: Completely monotonic degrees for a difference between the logarithmic and psi functions
cites work: Closed formulas and identities on the Bell polynomials and falling factorials.
cites work: Some properties of the gamma and psi functions, with applications
cites work: Bernstein functions. Theory and applications
cites work: Logarithmic convexity and increasing property of the Bernoulli numbers and their ratios
cites work: Q3735790
cites work: Qi's conjectures on completely monotonic degrees of remainders of asymptotic formulas of di- and trigamma functions
cites work: Some identities involving exponential functions and Stirling numbers and applications
cites work: Complete monotonicity properties for the gamma function and Barnes \(G\)-function
cites work: Monotonicity rules for the ratio of two Laplace transforms with applications
cites work: Completely monotonic integer degrees for a class of special functions
DOI: 10.7153/MIA-2022-25-17
describes a project that uses: Digital Library of Mathematical Functions
description: scientific article; zbMATH DE number 7475816