Complex.hasSum_taylorSeries_log

∀ {z : ℂ}, ‖z‖ < 1 → HasSum (fun n => (-1) ^ (n + 1) * z ^ n / ↑n) (Complex.log (1 + z))

The Taylor series of the complex logarithm at 1 converges to the logarithm in the open unit disk.

Defined in: Mathlib.Analysis.SpecialFunctions.Complex.LogBounds
Cited by: 2 results in Mathlib
Foundations: Depth 273 from the axioms · uses propext, Classical.choice, Quot.sound

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