Some conditions for a class of functions to be completely monotonic-Reference-Cited by-同舟云学术

Some conditions for a class of functions to be completely monotonic

Published:2015-01-13 Issue:1 Volume:2015 Page:
ISSN:1029-242X
Container-title:Journal of Inequalities and Applications
language:en
Short-container-title:J Inequal Appl

Author:

Guo Senlin

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis

Link

http://link.springer.com/content/pdf/10.1186/s13660-014-0534-y.pdf

Reference29 articles.

1. Bernstein S: Sur la définition et les propriétés des fonctions analytiques d’une variable réelle. Math. Ann. 1914, 75: 449–468. 10.1007/BF01563654

2. Bernstein S: Sur les fonctions absolument monotones. Acta Math. 1928, 51: 1–66. 10.1007/BF02545658

3. Atanassov RD, Tsoukrovski UV: Some properties of a class of logarithmically completely monotonic functions. C. R. Acad. Bulgare Sci. 1988, 41: 21–23.

4. Horn RA: On infinitely divisible matrices, kernels, and functions. Z. Wahrscheinlichkeitstheor. Verw. Geb. 1967, 8: 219–230. 10.1007/BF00531524

5. Guo B-N, Qi F: A class of completely monotonic functions involving divided differences of the psi and tri-gamma functions and some applications. J. Korean Math. Soc. 2011, 48: 655–667. 10.4134/JKMS.2011.48.3.655

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