On a criterion of local invertibility and conformality for slice regular quaternionic functions
Articolo
Data di Pubblicazione:
2019
Citazione:
On a criterion of local invertibility and conformality for slice regular quaternionic functions / A. Gori, F. Vlacci. - In: PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY. - ISSN 0013-0915. - 62:1(2019 Feb), pp. 97-105. [10.1017/S0013091518000226]
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.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
injective function of a hypercomplex variable; slice regular functions; Primary 30G35; 30C45
Elenco autori:
A. Gori, F. Vlacci
Link alla scheda completa: