On Cauchy Integral Theorem for Quaternionic Slice Regular Functions

J. Oscar González Cervantes

doi:10.1007/s11785-019-00913-2

On Cauchy Integral Theorem for Quaternionic Slice Regular Functions

J. Oscar González Cervantes

Escuela Superior de Física y Matemáticas (ESFM)

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

The aim of this work is to show that the operator G, which has been introduced in Colombo et al. (Trans Am Math Soc 365:303–318, 2013) and whose kernel kerG coincides with the set of quaternionic slice regular functions, is a member of a family of operators with similar properties, such that all the members possess the respective versions of Stokes and Cauchy–type integral theorems. As direct consequences, these theorems are obtained for slice regular functions.

Original language	English
Pages (from-to)	2527-2539
Number of pages	13
Journal	Complex Analysis and Operator Theory
Volume	13
Issue number	6
DOIs	https://doi.org/10.1007/s11785-019-00913-2
State	Published - 1 Sep 2019

Keywords

Non-constant coefficient differential operator
Quaternionic Cauchy integral theorem
Quaternionic Stokes theorem
Quaternionic slice regular functions
Quaternions

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10.1007/s11785-019-00913-2

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KW - Quaternionic Cauchy integral theorem

KW - Quaternionic Stokes theorem

KW - Quaternionic slice regular functions

KW - Quaternions

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On Cauchy Integral Theorem for Quaternionic Slice Regular Functions

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Keywords

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