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Complete monotonicity of some functions involving polygamma functions

✍ Scribed by Feng Qi; Senlin Guo; Bai-Ni Guo

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
732 KB
Volume
233
Category
Article
ISSN
0377-0427

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✦ Synopsis

In the present paper, we establish necessary and sufficient conditions for the functions

| respectively to be monotonic and completely monotonic on (0, ∞), where i ∈ N, Ξ± > 0 and Ξ² β‰₯ 0 are scalars, and ψ (i) (x) are polygamma functions.

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