Necessary and sufficient conditions for functions involving the psi function to be completely monotonic
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Publication:261144
DOI10.1186/s13660-015-0674-8zbMath1334.33013OpenAlexW2131480049WikidataQ59435248 ScholiaQ59435248MaRDI QIDQ261144
Xiao-Hui Zhang, Zhen-Hang Yang, Yu-Ming Chu
Publication date: 22 March 2016
Published in: Journal of Inequalities and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13660-015-0674-8
Gamma, beta and polygamma functions (33B15) Inequalities for sums, series and integrals (26D15) Monotonic functions, generalizations (26A48)
Related Items (13)
Approximations for certain hyperbolic functions by partial sums of their Taylor series and completely monotonic functions related to gamma function ⋮ The monotonicity and convexity of a function involving psi function with applications ⋮ Monotonicity rules for the ratio of two Laplace transforms with applications ⋮ Sharp approximations for the complete elliptic integrals of the second kind by one-parameter means ⋮ Monotonicity and inequalities involving the incomplete gamma function ⋮ A best possible upper bound for the complete elliptic integral of the first kind ⋮ A sharp lower bound for the complete elliptic integrals of the first kind ⋮ Landen inequalities for a class of hypergeometric functions with applications ⋮ Some properties of the divided difference of psi and polygamma functions ⋮ Functional inequalities for Gaussian hypergeometric function and generalized elliptic integral of the first kind ⋮ A new chain of inequalities involving the Toader-Qi, logarithmic and exponential means ⋮ Complete monotonicity and inequalities related to generalized \(k\)-gamma and \(k\)-polygamma functions ⋮ Complete monotonicity of the remainder of the asymptotic series for the ratio of two gamma functions
Cites Work
- A solution to an open problem on the Euler-Mascheroni constant
- Monotonicity properties of functions related to the psi function
- Fast convergences towards Euler-Mascheroni constant
- A new Stirling series as continued fraction
- Sharp bounds for harmonic numbers
- New sequence converging towards the Euler-Mascheroni constant
- Inequalities for the Euler-Mascheroni constant
- Improved convergence towards generalized Euler-Mascheroni constant
- On new sequences converging towards the Euler-Mascheroni constant
- Inequalities for the gamma function
- On the computation of the Euler constant \({\gamma}\)
- A note on Jordan, Adamović-Mitrinović, and Cusa inequalities
- A double inequality for the trigamma function and its applications
- Sharp inequalities for the psi function and harmonic numbers
- Some new convergent sequences and inequalities of Euler's constant
- A generalization of Euler's constant
- Some completely monotonic functions involving polygamma functions and an application
- A Quicker Convergence to Euler's Constant
- Inequalities and Monotonicity properties for some special functions
- Ramanujan's Harmonic Number Expansion into Negative Powers of a Triangular Number
- Topics in Special Functions
- 75.9 Euler’s Constant
- 3295. Approximate evaluation of Euler’s constant
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