Poles of regular quaternionic functions

DOI10.1080/17476930903275938zbMath1177.30071arXiv0804.1665OpenAlexW2170193058MaRDI QIDQ3646099

Caterina Stoppato

Publication date: 19 November 2009

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0804.1665

zbMATH Keywords

Laurent seriesessential singularitiesmeromorphic functionspolesfunctions of quaternionic variable

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

Singularities of slice regular functions ⋮ Non commutative functional calculus: bounded operators ⋮ Twistor interpretation of slice regular functions ⋮ On the real differential of a slice regular function ⋮ The Weierstrass factorization theorem for slice regular functions over the quaternions ⋮ Krein-Langer factorization and related topics in the slice hyperholomorphic setting ⋮ Equivalence of slice semi-regular functions via Sylvester operators ⋮ Division algebras of slice functions ⋮ The Runge theorem for slice hyperholomorphic functions ⋮ The Bohr Theorem for slice regular functions ⋮ On geometric aspects of quaternionic and octonionic slice regular functions ⋮ Regular vs. Classical Möbius Transformations of the Quaternionic Unit Ball ⋮ Geometric function theory over quaternionic slice domains ⋮ Regular Moebius transformations of the space of quaternions ⋮ The argument principle for quaternionic slice regular functions ⋮ An Overview on Functional Calculus in Different Settings ⋮ Recent Developments for Regular Functions of a Hypercomplex Variable ⋮ Julia theory for slice regular functions ⋮ A local representation formula for quaternionic slice regular functions ⋮ Carathéodory theorems for slice regular functions

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