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{{short description|Identity obeyed by many special functions related to the gamma function}}
{{This|deals with the identity obeyed by many special functions related to the gamma function|the multiplication rule in probability theory|Independence (probability theory)}}
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In [[mathematics]], the '''multiplication theorem''' is a certain type of identity obeyed by many [[special function]]s related to the [[gamma function]]. For the explicit case of the gamma function, the identity is a product of values; thus the name. The various relations all stem from the same underlying principle; that is, the relation for one special function can be derived from that for the others, and is simply a manifestation of the same identity in different guises.
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