Explicit real-part estimates for high order derivatives of analytic functions

DOI10.1007/s40315-016-0162-2zbMath1362.30001arXiv1509.01176OpenAlexW2964285130MaRDI QIDQ523311

Gershon I. Kresin

Publication date: 20 April 2017

Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni, Computational Methods and Function Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.01176

zbMATH Keywords

asymptotic formulaanalytic functionshigh-order derivativesexplicit real-part estimatesestimates for derivativesreal-part theorems

Mathematics Subject Classification ID

Inequalities in the complex plane (30A10) Hardy spaces (30H10)

Related Items

Sharp estimates for the gradient of the generalized Poisson integral for a half-space ⋮ Optimal pointwise stimates for derivatives of solutions to Laplace, Lamé, and Stokes equations ⋮ Explicit real-part estimates for high order derivatives of analytic functions ⋮ ON SHARP POINTWISE ESTIMATES FOR DERIVATIVES OF ANALYTIC FUNCTIONS WITH BOUNDED REAL PART

Cites Work

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• Optimal estimates for the gradient of harmonic functions in the unit disk
• A real part theorem for the higher derivatives of analytic functions in the unit disk
• Optimal pointwise stimates for derivatives of solutions to Laplace, Lamé, and Stokes equations
• Explicit real-part estimates for high order derivatives of analytic functions
• Sharp real-part theorems for high order derivatives
• Sharp real-part theorems in the upper halfplane and similar estimates for harmonic functions
• Extremum problems in the theory of analytic functions
• An Extremal Problem for Harmonic Functions in the Ball