A Bloch-Landau Theorem for Slice Regular Functions

DOI10.1007/978-88-470-2445-8_4zbMath1273.30041arXiv1404.3117OpenAlexW2112083406MaRDI QIDQ4912873

Graziano Gentili, Giulia Sarfatti, Chiara della Rocchetta

Publication date: 27 March 2013

Published in: Advances in Hypercomplex Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.3117

zbMATH Keywords

slice regular functionsBloch-Landau theorem

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35)

Related Items (9)

Univalence results for slice regular functions of a quaternion variable ⋮ On some geometric properties of slice regular functions of a quaternion variable ⋮ Twistor interpretation of slice regular functions ⋮ Slice starlike functions over quaternions ⋮ Landau’s theorem for slice regular functions on the quaternionic unit ball ⋮ Quaternionic inner and outer functions ⋮ The Bernstein inequality for slice regular polynomials ⋮ Julia theory for slice regular functions ⋮ Carathéodory theorems for slice regular functions

Cites Work

• Unnamed Item
• Slice regular functions on real alternative algebras
• Noncommutative functional calculus. Theory and applications of slice hyperholomorphic functions
• The Weierstrass factorization theorem for slice regular functions over the quaternions
• Power series and analyticity over the quaternions
• Extension results for slice regular functions of a quaternionic variable
• A Cauchy kernel for slice regular functions
• Zeros of regular functions and polynomials of a quaternionic variable
• Analysis of Dirac systems and computational algebra.
• Die Funktionentheorie der Differentialgleichungen \(\Delta u=0\) und \(\Delta\Delta u=0\) mit vier reellen Variablen
• Bloch's theorem in the context of quaternion analysis
• A new theory of regular functions of a quaternionic variable
• A new approach to Cullen-regular functions of a quaternionic variable
• An integral theorem for analytic intrinsic functions on quaternions
• Über einen Hartogsschen Satz
• The Open Mapping Theorem for Regular Quaternionic Functions
• Quaternionic analysis
• Distortion in several variables
• A New Approach to Slice Regularity on Real Algebras

This page was built for publication: A Bloch-Landau Theorem for Slice Regular Functions