Psi, polygamma functions and \(q\)-complete monotonicity on time scales
type: Item
instance of: scholarly article
title: Psi, polygamma functions and \(q\)-complete monotonicity on time scales
DOI: 10.11948/20210340
author: Zhong-Xuan Mao
author: Jingfeng Tian
author: Ya-Ru Zhu
published in: Journal of Applied Analysis and Computation
publication date: 2024-09-30T00:00:00Z
Mathematics Subject Classification ID: 33B15
Mathematics Subject Classification ID: 26A48
Mathematics Subject Classification ID: 26E70
zbMATH DE Number: 7920366
zbMATH Keywords: psi function
zbMATH Keywords: polygamma function
zbMATH Keywords: completely monotonic
zbMATH Keywords: gamma function
zbMATH Keywords: time scale
MaRDI profile type: Publication
cites work: Basic calculus on time scales and some of its applications
cites work: Q3807464
cites work: Sur les fonctions absolument monotones.
cites work: Multivariable Dynamic Calculus on Time Scales
cites work: Properties of the Laplace transform on time scales with arbitrary graininess
cites work: The gamma function on time scales
cites work: Q2723195
cites work: Q4797834
cites work: Laplace transform and \(Z\)-transform: Unification and extension
cites work: On Gamma Function Inequalities
cites work: Integral equations on time scales
cites work: Fractional Dynamic Calculus and Fractional Dynamic Equations on Time Scales
cites work: Q3995705
cites work: Almost automorphic solutions of dynamic equations on time scales
cites work: Higher dimensions opial diamond-alpha inequalities on time scales
cites work: Stability theory for dynamic equations on time scales
cites work: On complete monotonicity for several classes of functions related to ratios of gamma functions
cites work: Some completely monotonic functions involving polygamma functions and an application
cites work: From inequalities involving exponential functions and sums to logarithmically complete monotonicity of ratios of gamma functions
cites work: A ratio of finitely many gamma functions and its properties with applications
cites work: Some logarithmically completely monotonic functions and inequalities for multinomial coefficients and multivariate beta functions
cites work: Sharp rational bounds for the gamma function
cites work: Oscillation of third-order nonlinear delay dynamic equation with damping term on time scales
cites work: Triple diamond-alpha integral and Hölder-type inequalities
cites work: New properties of the divided difference of psi and polygamma functions
cites work: Logarithmically complete monotonicity of ratios of \(q\)-gamma functions
cites work: Asymptotic expansions of Gurland's ratio and sharp bounds for their remainders
cites work: Several absolutely monotonic functions related to the complete elliptic integral of the first kind
cites work: \(N\)-tuple diamond-alpha integral and inequalities on time scales
cites work: Q5846853
cites work: Ramanujan's cubic transformation inequalities for zero-balanced hypergeometric functions
cites work: Complete monotonicity of the remainder of the asymptotic series for the ratio of two gamma functions
cites work: Absolute monotonicity involving the complete elliptic integrals of the first kind with applications
cites work: Monotonicity, convexity, and complete monotonicity of two functions related to the gamma function
cites work: A comparison theorem for two divided differences and applications to special functions
cites work: A class of completely mixed monotonic functions involving the gamma function with applications
description: scientific article; zbMATH DE number 7920366