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slice regular functions

Proceedings of the Edinburgh Mathematical Society (1)

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1 results

On a Criterion of Local Invertibility and Conformality for Slice Regular Quaternionic Functions
Part of
- Geometric function theory
- Generalized function theory
Anna Gori, Fabio Vlacci
Journal:

Proceedings of the Edinburgh Mathematical Society / Volume 62 / Issue 1 / February 2019

Published online by Cambridge University Press:

28 August 2018, pp. 97-105
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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.