Theorems · Theorem · complex analysis
Complex.log_eq_integral
∀ {z : ℂ}, 1 + z ∈ Complex.slitPlane → Complex.log (1 + z) = z * ∫ (t : ℝ) in 0..1, (1 + t • z)⁻¹Represent log (1 + z) as an integral over the unit interval
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 269 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
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- StarConvex.add_smul_memproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- Complex.log_inv_eq_integralproof · cited by 0