A LOGARITHMICALLY COMPLETELY MONOTONIC FUNCTION INVOLVING THE RATIO OF GAMMA FUNCTIONS (Q5121234)

scientific article; zbMATH DE number 7246366

Language	Label	Description	Also known as
English	A LOGARITHMICALLY COMPLETELY MONOTONIC FUNCTION INVOLVING THE RATIO OF GAMMA FUNCTIONS	scientific article; zbMATH DE number 7246366

Statements

instance of

scholarly article

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title

A LOGARITHMICALLY COMPLETELY MONOTONIC FUNCTION INVOLVING THE RATIO OF GAMMA FUNCTIONS (English)

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Journal of Applied Analysis & Computation

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publication date

11 September 2020

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full work available at URL

https://arxiv.org/abs/1303.1877

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zbMATH Keywords

logarithmically completely monotonic function

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gamma function

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coding gain

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necessary and sufficient condition

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MaRDI profile type

MaRDI publication profile

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cites work

Q3331506

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Q3807464

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Integral representation of some functions related to the gamma function

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New asymptotic expansions of the quotient of gamma functions

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Fractional part integral representation for derivatives of a function related to \ln \Gamma(x+1)

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A CLASS OF COMPLETELY MONOTONIC FUNCTIONS INVOLVING DIVIDED DIFFERENCES OF THE PSI AND TRI-GAMMA FUNCTIONS AND SOME APPLICATIONS

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A class of completely monotonic functions involving the gamma and polygamma functions

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A completely monotonic function involving the tri-gamma function and with degree one

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A property of logarithmically absolutely monotonic functions and the logarithmically complete monotonicity of a power-exponential function

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An extension of an inequality for ratios of gamma functions

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Inequalities and monotonicity for the ratio of gamma functions.

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Monotonicity and logarithmic convexity relating to the volume of the unit ball

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Monotonicity of functions connected with the gamma function and the volume of the unit ball

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Refinements of lower bounds for polygamma functions

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Sharp inequalities for the psi function and harmonic numbers

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A completely monotonic function involving the tri- and tetra-gamma functions

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On Ruijsenaars' asymptotic expansion of the logarithm of the double gamma function

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Complete monotonicity and related properties of some special functions

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Completely monotonic functions of positive order and asymptotic expansions of the logarithm of Barnes double gamma function and Euler's gamma function

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On proofs for monotonicity of a function involving the psi and exponential functions

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A completely monotonic function involving the divided difference of the psi function and an equivalent inequality involving sums

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Q2972875

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An integral representation, complete monotonicity, and inequalities of Cauchy numbers of the second kind

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Bounds for the ratio of two gamma functions

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Complete monotonicity of functions involving the \(q\)-trigamma and \(q\)-tetragamma functions

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Complete monotonicity of a family of functions involving the tri- and tetra-gamma functions

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Integral representations and complete monotonicity related to the remainder of Burnside's formula for the gamma function

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Integral representations and properties of Stirling numbers of the first kind

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Properties of modified Bessel functions and completely monotonic degrees of differences between exponential and trigamma functions

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Three classes of logarithmically completely monotonic functions involving gamma and psi functions

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Complete monotonicity of a difference between the exponential and trigamma functions and properties related to a modified Bessel function

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COMPLETE MONOTONICITY OF A FUNCTION INVOLVING THE DIVIDED DIFFERENCE OF PSI FUNCTIONS

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A complete monotonicity property of the gamma function

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A logarithmically completely monotonic function involving the gamma function

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Completely monotonic functions involving divided differences of the di- and tri-gamma functions and some applications

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Q4678393

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SOME LOGARITHMICALLY COMPLETELY MONOTONIC FUNCTIONS RELATED TO THE GAMMA FUNCTION

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Some completely monotonic functions involving the gamma and polygamma functions

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A function involving gamma function and having logarithmically absolute convexity

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Complete monotonicity of some functions involving polygamma functions

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A class of<i>k</i>-log-convex functions and their applications to some special functions

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Bounds for the ratio of two gamma functions: from Wendel's asymptotic relation to Elezović-Giordano-Pečarić's theorem

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Bounds for the ratio of two gamma functions -- from Wendel's and related inequalities to logarithmically completely monotonic functions

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Complete monotonicity of a function involving the gamma function and applications

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

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FOUR LOGARITHMICALLY COMPLETELY MONOTONIC FUNCTIONS INVOLVING GAMMA FUNCTION

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Complete monotonicity of a function involving the ratio of gamma functions and applications

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COMPLETE MONOTONICITY OF A DIFFERENCE BETWEEN THE EXPONENTIAL AND TRIGAMMA FUNCTIONS

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An integral representation for the weighted geometric mean and its applications

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Lévy-Khintchine representation of the geometric mean of many positive numbers and applications

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Lévy-Khintchine representations of the weighted geometric mean and the logarithmic mean

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An inequality for ratios of gamma functions

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Monotonic and logarithmically convex properties of a function involving gamma functions

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A refinement of a double inequality for the gamma function

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Identifiers

zbMATH Open document ID

1447.33002

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DOI

10.11948/2015049

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5121234