Multiplication theorem: Difference between revisions

Revision as of 12:21, 29 July 2011

Revision as of 08:00, 10 April 2012

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It is sometimes called the '''Legendre duplication formula'''<ref>{{mathworld|urlname=LegendreDuplicationFormula|title=Legendre Duplication Formula}}</ref> or '''Legendre relation''', in honor of [[Adrien-Marie Legendre]]. The multiplication theorem is

:<math>

\Gamma(z) \; \Gamma\left(z + \frac{1}{k}\right) \; \Gamma\left(z + \frac{2}{k}\right) \cdots