Calculating Higher Derivatives of Inverses

DOI10.2307/2695472zbMath1041.26001OpenAlexW4236823494MaRDI QIDQ2757506

Tom M. Apostol

Publication date: 26 November 2001

Full work available at URL: https://doi.org/10.2307/2695472

zbMATH Keywords

inverse functionsReynolds formulas

Mathematics Subject Classification ID

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

Related Items (5)

Combinatorial formulae for the derivatives of Lamé functions ⋮ 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 ⋮ Inversion approximations for functions via \(s\)-power series ⋮ Analytic formulation of Cauchy integrals for boundaries with curvilinear geometry

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