Singularities of slice regular functions

DOI10.1002/mana.201100082zbMath1253.30076arXiv1007.0867OpenAlexW3101874511MaRDI QIDQ2905243

Caterina Stoppato

Publication date: 27 August 2012

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

Full work available at URL: https://arxiv.org/abs/1007.0867

zbMATH Keywords

Casorati-Weierstrass theoremfunctions of quaternionic variables

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Power series (including lacunary series) in one complex variable (30B10) Meromorphic functions of one complex variable (general theory) (30D30)

Related Items (13)

Singularities of slice regular functions over real alternative \(^{\ast}\)-algebras ⋮ The algebra of slice functions ⋮ A new series expansion for slice regular functions ⋮ Equivalence of slice semi-regular functions via Sylvester operators ⋮ Twistor transforms of quaternionic functions and orthogonal complex structures ⋮ Division algebras of slice functions ⋮ The Bohr Theorem for slice regular functions ⋮ Holomorphicity of slice-regular functions ⋮ On geometric aspects of quaternionic and octonionic slice regular functions ⋮ Geometric function theory over quaternionic slice domains ⋮ Julia theory for slice regular functions ⋮ Carathéodory theorems for slice regular functions ⋮ Realizations of slice hyperholomorphic generalized contractive and positive functions

Cites Work

• Unnamed Item
• Unnamed Item
• Regular Moebius transformations of the space of 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
• On the multiplicity of zeroes of polynomials with quaternionic coefficients
• Analysis of Dirac systems and computational algebra.
• Die Funktionentheorie der Differentialgleichungen \(\Delta u=0\) und \(\Delta\Delta u=0\) mit vier reellen Variablen
• 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
• The Open Mapping Theorem for Regular Quaternionic Functions
• Poles of regular quaternionic functions
• Quaternionic analysis
• On the Structure of the Set of Zeros of Quaternionic Polynomials

This page was built for publication: Singularities of slice regular functions