Combinatorics of Higher Derivatives of Inverses

DOI10.2307/2695356zbMath1047.26004OpenAlexW4235617404MaRDI QIDQ4417719

Warren P. Johnson

Publication date: 29 July 2003

Full work available at URL: https://doi.org/10.2307/2695356

zbMATH Keywords

inverse functionsexplicit formulas for higher derivatives

Mathematics Subject Classification ID

Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24)

Related Items (10)

On polynomials counting essentially irreducible maps ⋮ Inverse relations and reciprocity laws involving partial Bell polynomials and related extensions ⋮ A simple algorithm for the fast calculation of higher order derivatives of the inverse function ⋮ Taylor expansion of the inverse function with application to the Langevin function ⋮ Slicing sets and measures, and the dimension of exceptional parameters ⋮ The combinatorics of higher derivatives of implicit functions ⋮ Divided differences of inverse functions and partitions of a convex polygon ⋮ On functions and inverses, both positive, decreasing and convex: And Stieltjes functions ⋮ Quantitative statistical properties of two-dimensional partially hyperbolic systems ⋮ De Moivre and Bell polynomials

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