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Theorems · Theorem · special functions

AnalyticOnNhd.cexp

∀ {E : Type u_1} [inst : NormedAddCommGroup E] [inst_1 : NormedSpace ℂ E] {f : E → ℂ} {s : Set E},
  AnalyticOnNhd ℂ f s → AnalyticOnNhd ℂ (fun z => Complex.exp (f z)) s

exp ∘ f is analytic

Defined in
Mathlib.Analysis.SpecialFunctions.ExpDeriv
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Foundations
Depth 192 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
NormedAddCommGroupNormedSpace
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Set · cited by 53352SetNormedAddCommGroup · cited by 15752NormedAddCommGroupNormedSpace · cited by 12499NormedSpaceComplex · cited by 5565ComplexComplex.exp · cited by 612Complex.expAnalyticOnNhd · cited by 206AnalyticOnNhdAnalyticAt.comp · cited by 28AnalyticAt.companalyticAt_cexp · cited by 5analyticAt_cexpAnalyticOnNhd.cexpCITED BYCITES

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