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Sharp upper and lower bounds for the gamma function

Published online by Cambridge University Press:  08 July 2009

Horst Alzer
Affiliation:
Morsbacher Strasse 10, 51545 Waldbröl, Germany (h.alzer@gmx.de)

Abstract

We prove that for all x > 0, we have

with the best possible constants α = 0 and .

Type
Research Article
Copyright
Copyright © Royal Society of Edinburgh 2009

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