A local representation formula for quaternionic slice regular functions

DOI10.1090/proc/15339zbMath1479.30037arXiv2005.01077OpenAlexW3106436317MaRDI QIDQ5856958

Caterina Stoppato, Graziano Gentili

Publication date: 30 March 2021

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.01077

zbMATH Keywords

slice regular functionslocal representation formulanon-axially symmetric domains

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35)

Related Items (5)

Cauchy-Riemann operators and local slice analysis over real alternative algebras ⋮ Slice conformality and Riemann manifolds on quaternions and octonions ⋮ Quaternionic slice regularity beyond slice domains ⋮ Fractional slice regular functions of a quaternionic variable ⋮ Spherical coefficients of slice regular functions

Cites Work

• Slice regular functions on real alternative algebras
• Extension results for slice regular functions of a quaternionic variable
• A new theory of regular functions of a quaternionic variable
• A new approach to Cullen-regular functions of a quaternionic variable
• Regular Functions of a Quaternionic Variable
• Poles of regular quaternionic functions
• Global differential equations for slice regular functions

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