Mathematics Atlas

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Theorem

Multiplication Theorem

Analysis

In mathematics, the multiplication theorem refers to a family of identities obeyed by many special functions related to the gamma function. For the gamma function itself, the identity expresses a value of the function as a product of other values, which gives the theorem its name. The versions of the multiplication theorem for different special functions all stem from the same underlying relationship, so the identity for one function can be derived from the identity for another.

Facts
Statement
In mathematics, the multiplication theorem is a certain type of identity obeyed by many special functions related to the gamma function. 1
Classification
Statement Form
Identity or Equation 1
Connections

Has Statement Form

Equation, Concepts

Entity-backed identity for the statement-form enum value this theorem already carries, resolved to a mathematics concept by an explicit value-to-entity map (phase 3 bucket conversion, docs\design_entity_backed_browse_buckets_20260928.md). The statement-form fact itself stays on the theorem unchanged.

Identity, Concepts

Entity-backed identity for the statement-form enum value this theorem already carries, resolved to a mathematics concept by an explicit value-to-entity map (phase 3 bucket conversion, docs\design_entity_backed_browse_buckets_20260928.md). The statement-form fact itself stays on the theorem unchanged.

Sources
1. Multiplication theorem - Wikipedia
Lead section
Quote, Lead section
In mathematics, the multiplication theorem is a certain type of identity obeyed by many special functions related to the gamma function.
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