Theorems · Theorem · special functions
Complex.Gamma_mul_Gamma_eq_betaIntegral
∀ {s t : ℂ}, 0 < s.re → 0 < t.re → Complex.Gamma s * Complex.Gamma t = Complex.Gamma (s + t) * s.betaIntegral tRelation between Beta integral and Gamma function.
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 281 from the axioms · uses propext, Classical.choice, Quot.sound
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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
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- Complex.betaIntegral_eq_Gamma_mul_divproof · cited by 1