DefinitionDefinition: Literature-sourcedProof: Not applicablejudge pass (gpt-5.6-terra)audited 2026-08-30

How statement and proof provenance work

The first chip identifies the source of the statement or construction; the second identifies the source of its local proof or verification.

Literature-sourced: the exact statement appears in a cited source; only wording and notation differ.
AI-adapted: a semantically identical restatement of literature-sourced material, modulo indexing, notation, and boundary cases adopted by the library.
AI-generated: a genuinely novel statement formulated by AI, with no source for the claim itself.

These labels describe origin, not correctness: citations and verification chips remain separate evidence.

Landau radii and the Landau constant

Definition

Let $f$ be holomorphic on $D$ with $f^{'} (0) \neq 0$ . The Landau radius $λ (f)$ is the supremum of all $r > 0$ such that $f (D)$ contains a round disc of radius $r$ .

The Landau constant is

$L : = \inf {λ (f) : f holomorphic on D, ∣ f^{'} (0) ∣ = 1} .$

Used by

Landau's theorem Theorem

Dependency tree · 0 levels

Nothing. This result depends on no other item in the library.

Sources

Matthias Weber, Complex Analysis, §7.4 (standard reference, not scraped)