Theorems · Theorem · real analysis

Complex.isTheta_exp_arg_mul_im

∀ {α : Type u_1} {l : Filter α} {f g : α → ℂ},
  (Filter.IsBoundedUnder (fun x1 x2 => x1 ≤ x2) l fun x => |(g x).im|) →
    (fun x => Real.exp ((f x).arg * (g x).im)) =Θ[l] fun x => 1

Defined in

Mathlib.Analysis.SpecialFunctions.Pow.Asymptotics

Cited by

2 results in Mathlib

Foundations

Depth 198 from the axioms · uses propext, Classical.choice, Quot.sound