Some completely monotonic functions involving the gamma and polygamma functions-Reference-Cited by-同舟云学术

Some completely monotonic functions involving the gamma and polygamma functions

Published:2006-02 Issue:1 Volume:80 Page:81-88
ISSN:1446-7887
Container-title:Journal of the Australian Mathematical Society
language:en
Short-container-title:J. Aust. Math. Soc.

Author:

Qi Feng,Guo Bai-Ni,Chen Chao-Ping

Abstract

AbstractThe function [Γ(x + 1)]1/x(1 + 1/x)x/x is strictly logarithmically completely monotonic in (0, ∞). The function ψ″ (x + 2) + (1 + x2)/x2(1 + x)2 is strictly completely monotonic in (0, ∞).

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference8 articles.

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4. [2] Alzer H. and Berg C. , ‘Some classes of completely monotonic functions, II’, Ramanujan J., to appear, available online at http://www.math.ku.dk/~berg.

5. Potential Theory on Locally Compact Abelian Groups

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