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Some properties of a class of functions related to completely monotonic functions

โœ Scribed by H.M. Srivastava; Senlin Guo; Feng Qi

Book ID
116332453
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
201 KB
Volume
64
Category
Article
ISSN
0898-1221

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๐Ÿ“œ SIMILAR VOLUMES

A class of logarithmically completely mo
A class of logarithmically completely monotonic functions
โœ Senlin Guo; H.M. Srivastava ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 223 KB

The main object of this work is to give some conditions for a class of functions to be logarithmically completely monotonic. Our result is shown to be an extension of a result which was proven in the recent literature on this subject.

Complete monotonicity of some functions
Complete monotonicity of some functions involving polygamma functions
โœ Feng Qi; Senlin Guo; Bai-Ni Guo ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 732 KB

In the present paper, we establish necessary and sufficient conditions for the functions | respectively to be monotonic and completely monotonic on (0, โˆž), where i โˆˆ N, ฮฑ > 0 and ฮฒ โ‰ฅ 0 are scalars, and ฯˆ (i) (x) are polygamma functions.