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Theorems · Theorem · complex analysis

Complex.hasSum_arctan

∀ {z : ℂ}, ‖z‖ < 1 → HasSum (fun n => (-1) ^ n * z ^ (2 * n + 1) / ↑(2 * n + 1)) z.arctan

The power series expansion of Complex.arctan, valid on the open unit disc.

Defined in
Mathlib.Analysis.SpecialFunctions.Complex.Arctan
Cited by
1 results in Mathlib
Foundations
Depth 275 from the axioms · uses propext, Classical.choice, Quot.sound

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