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Errata: Polygamma Functions of Arbitrary Order

โœ Scribed by Grossman, Nathaniel

Book ID
118198584
Publisher
Society for Industrial and Applied Mathematics
Year
1977
Tongue
English
Weight
62 KB
Volume
8
Category
Article
ISSN
0036-1410

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๐Ÿ“œ SIMILAR VOLUMES

Polygamma functions of negative order
Polygamma functions of negative order
โœ Victor S. Adamchik ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 343 KB

Liouville's fractional integration is used to define polygamma functions ~,(")(z) for negative integer n. It is shown that such ~k(n)(z) can be represented in a closed form by means of the first derivatives of the Hurwitz Zeta function. Relations to the Barnes G-function and generalized Glaisher's c

Complete monotonicity of some functions
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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.