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Theorems · Theorem · complex analysis

HasStrictDerivAt.clog

∀ {f : ℂ → ℂ} {f' x : ℂ},
  HasStrictDerivAt f f' x → f x ∈ Complex.slitPlane → HasStrictDerivAt (fun t => Complex.log (f t)) (f' / f x) x
Defined in
Mathlib.Analysis.SpecialFunctions.Complex.LogDeriv
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Foundations
Depth 209 from the axioms · uses propext, Classical.choice, Quot.sound
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Set · cited by 53352SetComplex · cited by 5565ComplexComplex.log · cited by 187Complex.logHasStrictDerivAt · cited by 163HasStrictDerivAtdiv_eq_inv_mul · cited by 146div_eq_inv_mulComplex.slitPlane · cited by 113Complex.slitPlaneHasStrictDerivAt.comp · cited by 20HasStrictDerivAt.compComplex.hasStrictDerivAt_log · cited by 8Complex.hasStrictDerivAt_…HasStrictDerivAt.clogCITED BYCITES

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