Multiplication theorem: Difference between revisions

Revision as of 22:53, 9 December 2009

Revision as of 13:37, 23 September 2010

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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 honourhonor 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