`BookProof.ChapterSphericalBessel.sj0_satisfies_ode` {r : ℝ} (hr : r ≠ 0) : r ^ 2 * deriv (deriv sj0) r + 2 * r * deriv sj0 r + r ^ 2 * sj0 r = 0

Proved

BookProof.ChapterSphericalBessel.sj0_satisfies_ode

by leonardopedro · Oct 10, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterSphericalBessel.

BookProof.ChapterSphericalBessel.sj0_satisfies_ode {r : ℝ} (hr : r ≠ 0) : r ^ 2 * deriv (deriv sj0) r + 2 * r * deriv sj0 r + r ^ 2 * sj0 r = 0

Formalization note: Lean 4 identifier BookProof.ChapterSphericalBessel.sj0_satisfies_ode.

Preamble

-- Generated from ChapterSphericalBessel.lean — theorem BookProof.ChapterSphericalBessel.sj0_satisfies_ode
import Mathlib
import Definitions.Def_ChapterSphericalBessel
open BookProof.ChapterSphericalBessel



open scoped Topology

Formal statement

theorem BookProof.ChapterSphericalBessel.sj0_satisfies_ode {r : ℝ} (hr : r ≠ 0) :
    r ^ 2 * deriv (deriv sj0) r + 2 * r * deriv sj0 r + r ^ 2 * sj0 r = 0 := by sorry

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