Higher Schwarzian operators and combinatorics of the Schwarzian derivative

DOI10.1007/BF01444214zbMath0890.30004MaRDI QIDQ1906881

Hirotaka Tamanoi

Publication date: 12 February 1996

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/165436

zbMATH Keywords

Bell polynomialsbest Möbius approximations of analytic functionsMöbius invariant nonlinear differential operatorsSchwarzian operatorsSchwarzian polynomials

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) General theory of ordinary differential operators (47E05) Geometric function theory (30C99) Miscellaneous topics of analysis in the complex plane (30E99) Nonlinear operators and their properties (47H99) Series expansions of functions of one complex variable (30B99)

Related Items (14)

Invariant Schwarzian derivatives of higher order ⋮ A study of the higher-order Schwarzian derivatives of Hirotaka Tamanoi ⋮ Schwarzian derivative and convexity of order \(\alpha\) ⋮ Teichmüller spaces and coefficient problems for univalent holomorphic functions ⋮ Generalized Schwarzian mechanics ⋮ Schwarzian derivatives for pluriharmonic mappings ⋮ A Shimorin-type estimate for higher-order Schwarzian derivatives ⋮ Pre-schwarzian and Schwarzian derivatives of harmonic mappings ⋮ Geometric invariants associated with projective structures and univalence criteria ⋮ Teichmüller spaces and coefficient problems for univalent holomorphic functions ⋮ Pre-Schwarzian and Schwarzian derivatives of logharmonic mappings ⋮ Sharp bounds on the higher order Schwarzian derivatives for Janowski classes ⋮ Higher Schwarzian derivative and Dirichlet Morrey space ⋮ Distortion theorems for higher order Schwarzian derivatives of univalent functions

Cites Work

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• Special coordinate coverings of Riemann surfaces
• Generalized Schwarzians in several variables and Möbius invariant differential operators
• The Schwarzian Derivative and Disconjugacy of nth order Linear Differential Equations

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