Completely monotonic and related functions

From MaRDI portal
Publication:1353643

DOI10.1006/jmaa.1996.0443zbMath0889.26008OpenAlexW2090100933MaRDI QIDQ1353643

Henk van Haeringen

Publication date: 23 June 1998

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1996.0443




Related Items (52)

Some properties of the Schröder numbersComplete characterizations of the gamma functionA class of logarithmically completely monotonic functions and the best bounds in the first Kershaw's double inequalityOn Stirling's formula remainderInequalities and completely monotonic functions associated with the ratios of functions resulting from the gamma functionWendel's and Gautschi's inequalities: refinements, extensions, and a class of logarithmically completely monotonic functionsComplete monotonicity of some functions involving polygamma functionsUnnamed ItemInequalities for real powers of completely monotonic functionsSome properties of central Delannoy numbersSome properties of the remainders in certain series representations for the constant \(\pi\)Some inequalities for the Bell numbersMultiply monotone functions for radial basis function interpolation: extensions and new kernelsFurther refinements of Gurland's formula for \({\pi}\)Sharp inequalities related to the volume of the unit ball in \(\mathbb{R}^n\)An integral representation, complete monotonicity, and inequalities of Cauchy numbers of the second kindComplete monotonicity and inequalities involving the \(k\)-gamma and \(k\)-polygamma functionsIncreasing property and logarithmic convexity of functions involving Dirichlet lambda functionSome inequalities and an application of exponential polynomialsAsymptotic expansions and complete monotonicity properties for the Barnes \(G\)-functionInequalities, asymptotic expansions and completely monotonic functions related to the gamma functionSome properties of functions related to the gamma, psi and tetragamma functionsPre Stieltjes functionsOn complete monotonicity of certain special functionsComplete monotonicity results for some functions involving the gamma and polygamma functionsSome inequalities and monotonicity properties associated with the gamma and psi functionsA Bernstein function related to Ramanujan's approximations of \(\exp(n)\)Integral representations and properties of Stirling numbers of the first kindMonotonicity properties, inequalities and asymptotic expansions associated with the gamma functionInequalities and asymptotic expansions related to the volume of the unit ball in \(\mathbb{R}^n\)Asymptotic expansions and completely monotonic functions associated with the gamma, psi and polygamma functionsOn the asymptotic expansions of the gamma function related to the Nemes, Gosper and Burnside formulasA class of logarithmically completely monotonic functions and the best bounds in the second Kershaw's double inequalityAn extension and a refinement of van der Corput's inequalityComplete monotonicity and related properties of some special functionsSome completely monotonic functions of positive orderOn a conjecture for trigonometric sums and starlike functions. II.Monotonicity of some functions involving the gamma and psi functionsOn multivariate logarithmic polynomials and their propertiesComplete monotonicity of multinomial probabilities and its application to Bernstein estimators on the simplexSharp inequalities involving \((n!)^{1/n}\)On some complete monotonicity of functions related to generalized \(k\)-gamma functionSome inequalities and monotonicity properties associated with the gamma and psi functions and the BarnesG-functionA note on complete monotonicity of the remainder in Stirling's formulaLogarithmic convexity and increasing property of the Bernoulli numbers and their ratiosCompletely monotonic functions of positive order and asymptotic expansions of the logarithm of Barnes double gamma function and Euler's gamma functionSome new upper and lower bounds for the Mills ratioInequalities and monotonicity properties for the psi (or digamma) function and estimates for the Euler–Mascheroni constantComplete monotonicity and inequalities related to generalized \(k\)-gamma and \(k\)-polygamma functionsSome properties of functions related to the gamma and psi functionsAn integral representation, complete monotonicity, and inequalities of the Catalan numbersSome new properties of the Barnes G-function and related results




This page was built for publication: Completely monotonic and related functions