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On a Criterion of Local Invertibility and Conformality for Slice Regular Quaternionic Functions
Published online by Cambridge University Press: 28 August 2018
Abstract
A new criterion for local invertibility of slice regular quaternionic functions is obtained. This paper is motivated by the need to find a geometrical interpretation for analytic conditions on the real Jacobian associated with a slice regular function f. The criterion involves spherical and Cullen derivatives of f and gives rise to several geometric implications, including an application to related conformality properties.
- Type
- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 62 , Issue 1 , February 2019 , pp. 97 - 105
- Copyright
- Copyright © Edinburgh Mathematical Society 2018
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