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Derivation · draft

Gamma Function: Continuation & Reflection Formula

Statement

Extends the factorial to the complex plane via analytic continuation and derives the reflection formula Γ(z)Γ(1-z)=π/sin(πz) by residues.

Depends on

Analytic Continuation & the Identity Theorem, The Residue Theorem, Real Integrals by Residues & Jordan's Lemma

Used by

PU-205/L16 PU-205/L28