Theorems · Theorem · commutative algebra

LaurentSeries.derivative_iterate_coeff

∀ {R : Type u_1} [inst : Semiring R] {V : Type u_2} [inst_1 : AddCommGroup V] [inst_2 : Module R V] (k : ℕ)
  (f : LaurentSeries V) (n : ℤ),
  ((⇑(LaurentSeries.derivative R))^[k] f).coeff n = (descPochhammer ℤ k).smeval (n + ↑k) • f.coeff (n + ↑k)

Defined in

Mathlib.RingTheory.LaurentSeries

Cited by

0 results in Mathlib

Foundations

Depth 120 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringAddCommGroupModule