Theorems · Theorem · complex analysis
Complex.hasSum_taylorSeries_neg_log
∀ {z : ℂ}, ‖z‖ < 1 → HasSum (fun n => z ^ n / ↑n) (-Complex.log (1 - z))The series ∑ z^n/n converges to -log (1-z) on the open unit disk.
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 274 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites27
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
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Cited by2
Results whose statement or proof uses this declaration.
- Complex.hasSum_arctanproof · cited by 1
- Complex.hasSum_taylorSeries_neg_log'proof · cited by 1