๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

A submultiplicative property of the psi function

โœ Scribed by Horst Alzer; O.G. Ruehr

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
279 KB
Volume
101
Category
Article
ISSN
0377-0427

No coin nor oath required. For personal study only.

โœฆ Synopsis

We prove that the function x~--+ ~k(a+x) (a>0) is submultiplicative on [0, c~) if and only ifa~>a0 =3.203171 .... Here, a0 denotes the only positive real number which satisfies if(a0)= 1. (~) 1999 Elsevier Science B.V. All rights reserved.

๐Ÿ“œ SIMILAR VOLUMES

A subadditive property of the gamma func
A subadditive property of the gamma function
โœ Horst Alzer; Stephan Ruscheweyh ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 116 KB

Let โˆ† = min x 0 ฮ“ (2x)/ฮ“ (x) and ฮฑ \* = log 2/ log โˆ† = -0.946850. . . . We prove that the function x โ†’ (ฮ“ (x)) ฮฑ is subadditive on (0, โˆž) if and only if ฮฑ \* ฮฑ 0.