H. Hartmann

collaborators

2 papers

math.CO2026

Discrete Faà di Bruno via Möbius Inversion

Heinrich Hartmann

We approach discrete and differential Faà di Bruno formulas from a Möbius inversion angle. On the Boolean cube, Newton's discrete Taylor formula and the definition of iterated forw…

math.GM2026

Faà di Bruno is Taylor Composition

Heinrich Hartmann

We approach Faà di Bruno as a composition theorem for Taylor polynomials. For $C^{k}$ maps $ϕ : E \to F$ and $ψ : F \to G$ between Banach spaces, let $T_{*}^{k} (ϕ; x)$ denote the reduce…