Landau-Toeplitz theorems for slice regular functions over quaternions

DOI10.2140/PJM.2013.265.381zbMath1284.30046arXiv1404.3120OpenAlexW2003267868MaRDI QIDQ387723

Giulia Sarfatti, Graziano Gentili

Publication date: 23 December 2013

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.3120

zbMATH Keywords

functions of hypercomplex variablesgeometric theory of regular functions of a quaternionic variableSchwarz lemma and generalizations

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80)

Related Items (8)

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 ⋮ On geometric aspects of quaternionic and octonionic slice regular functions ⋮ Julia theory for slice regular functions ⋮ Carathéodory theorems for slice regular functions

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