Derivation · draft
Gamma Function: Continuation & Reflection Formula
D-188
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Threads chance · symmetry
Depends on Analytic Continuation & the Identity Theorem, The Residue Theorem, Real Integrals by Residues & Jordan's Lemma
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