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Theorems · Theorem · special functions

Complex.betaIntegral_recurrence

∀ {u v : ℂ}, 0 < u.re → 0 < v.re → u * u.betaIntegral (v + 1) = v * (u + 1).betaIntegral v

Recurrence formula for the Beta function.

Defined in
Mathlib.Analysis.SpecialFunctions.Gamma.Beta
Cited by
1 results in Mathlib
Foundations
Depth 270 from the axioms · uses propext, Classical.choice, Quot.sound

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