Complex.betaIntegral_convergent

∀ {u v : ℂ},
  0 < u.re → 0 < v.re → IntervalIntegrable (fun x => ↑x ^ (u - 1) * (1 - ↑x) ^ (v - 1)) MeasureTheory.volume 0 1

The Beta integral is convergent for all u, v of positive real part.

Defined in: Mathlib.Analysis.SpecialFunctions.Gamma.Beta
Cited by: 2 results in Mathlib
Foundations: Depth 269 from the axioms · uses propext, Classical.choice, Quot.sound

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