Autor:	Perotti, Alessandro
Rok vydání:	2021
Předmět:	Mathematics - Complex Variables Primary 30G35 Secondary 30E20 26B20
Zdroj:	Computational Methods and Function Theory (2023)
Druh dokumentu:	Working Paper
DOI:	10.1007/s40315-023-00485-5
Popis:	We prove a Cauchy-type integral formula for slice-regular functions where the integration is performed on the boundary of an open subset of the quaternionic space, with no requirement of axial symmetry. In particular, we get a local Cauchy-type integral formula. As a step towards the proof, we provide a decomposition of a slice-regular function as a combination of two axially monogenic functions.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2105.07041 Zobrazit plný text záznamu View this record from Arxiv