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Št. zadetkov: 2
On a continuation of quaternionic and octonionic logarithm along curves and the winding number
Graziano Gentili, Jasna Prezelj, Fabio Vlacci
Izvirni znanstveni članek
Oznake: hypercomplex logarithm;continuation of the hypercomplex logarithm along paths;winding number;
This paper deals with the problem of finding a continuous extension of the hypercomplex (quaternionic or octonionic) logarithm along (quaternionic or octonionic) paths which avoid the origin. The main difficulty depends upon this fact: while a branch of the complex logarithm can be defined in a smal ...
Leto: 2024 Vir: Digitalni repozitorij raziskovalnih organizacij Slovenije
On a definition of logarithm of quaternionic functions
Graziano Gentili, Jasna Prezelj-Perman, Fabio Vlacci
Izvirni znanstveni članek
Oznake: regularne funkcije nad kvaternioni;logaritem;rezinsko regularne funkcije;regular functions over quaternions;quaternionic logarithm of slice-regular functions;
For a slice-regular quaternionic function ▫$f$▫, the classical exponential function ▫${\mathrm exp} f$▫ is not slice-regular in general. An alternative definition of an exponential function, the ▫$\ast$▫-exponential ▫${\mathrm exp}_\ast$▫, was given in the work by Altavilla and de Fabritiis (2019): ...
Leto: 2023 Vir: Digitalni repozitorij raziskovalnih organizacij Slovenije
Št. zadetkov: 2
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