Theorems · Theorem · number theory
differentiableAt_iteratedDerivWithin_cexp
∀ (n a : ℕ) {s : Set ℂ},
IsOpen s →
∀ {r : ℂ},
r ∈ s → DifferentiableAt ℂ (iteratedDerivWithin a (fun z => Complex.exp (2 * ↑Real.pi * Complex.I * z) ^ n) s) r- Cited by
- 2 results in Mathlib
- Foundations
- Depth 203 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites22
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Complexstatement and proof · cited by 5,565
- IsOpenstatement and proof · cited by 2,400
- Real.pistatement and proof · cited by 1,774
- Complex.ofRealstatement and proof · cited by 1,654
- Complex.Istatement and proof · cited by 866
- DifferentiableAtstatement · cited by 617
- Complex.expstatement and proof · cited by 612
- IsOpen.mem_nhdsproof · cited by 470
- DifferentiableOnproof · cited by 419
- iteratedDerivproof · cited by 188
- iteratedDerivWithinstatement · cited by 122
Cited by2
Results whose statement or proof uses this declaration.
- iteratedDerivWithin_tsum_cexp_eqproof · cited by 1
- contDiffOn_tsum_cexpproof · cited by 0