Refinements of lower bounds for polygamma functions
arXiv:0903.1996 · doi:10.1090/S0002-9939-2012-11387-5
Abstract
In the paper, some lower bounds for polygamma functions are refined.
8 pages
References in corpus (5)
- Complete monotonicity of some functions involving polygamma functions
- Two new proofs of the complete monotonicity of a function involving the psi function
- A class of completely monotonic functions involving divided differences of the psi and polygamma functions and some applications
- Uniqueness of nontrivially complete monotonicity for a class of functions involving polygamma functions
- An extension of an inequality for ratios of gamma functions
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- Properties of modified Bessel functions and completely monotonic degrees of differences between exponential and trigamma functions
- Necessary and sufficient conditions for a function involving divided differences of the di- and tri-gamma functions to be completely monotonic
- Some integral representations and properties of Lah numbers
- Linearised Calderón problem: Reconstruction and Lipschitz stability for infinite-dimensional spaces of unbounded perturbations
- Complete monotonicity of a difference between the exponential and trigamma functions
- Some inequalities for the trigamma function in terms of the digamma function
- On the common transversal probability in finite groups