A Class of Logarithmically Completely Monotonic Functions and the Best Bounds in the Second Kershaw's Double Inequality
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Qi, Feng and Guo, Bai-Ni (2007) A Class of Logarithmically Completely Monotonic Functions and the Best Bounds in the Second Kershaw's Double Inequality. Research report collection, 10 (2).
Abstract
In the article, the sufficient and necessary conditions such that a class of functions which involve the psi function ψ and the ratio (Γ(x+t))/(Γ(x+s)) are logarithmically completely monotonic are established, the best bounds for the ratio (Γ(x+t))/(Γ(x+s)) are given, and some comparisons with known results are carried out, where s and t are two real numbers and x > - min {s,t}.
| Item type | Article |
| URI | https://vuir.vu.edu.au/id/eprint/18364 |
| Subjects | Historical > FOR Classification > 0101 Pure Mathematics Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA) |
| Keywords | logarithmically completely monotonic function, the second Kershaw's double inequality, best bound, gamma function, psi function, comparison |
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