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A harmonic mean inequality for the gamma function

✍ Scribed by Horst Alzer

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
123 KB
Volume
87
Category
Article
ISSN
0377-0427

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✦ Synopsis

We prove that for all positive real numbers x ~ 1, the harmonic mean of (F(x)) 2 and (F(1/x)) 2 is greater than 1. This refines a result of Gautschi (1974).

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