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Some completely monotonic functions involving polygamma functions and an application

✍ Scribed by Feng Qi; Run-Qing Cui; Chao-Ping Chen; Bai-Ni Guo

Book ID
108175184
Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
75 KB
Volume
310
Category
Article
ISSN
0022-247X

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πŸ“œ SIMILAR VOLUMES

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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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## Abstract The Gamma function and its __n__ th logarithmic derivatives (that is, the polygamma or the psi‐functions) have found many interesting and useful applications in a variety of subjects in pure and applied mathematics. Here we mainly apply these functions to treat convolutions of the Rayle