HIGHLIGHTS
SUMMARY
This work aims at studying slice regular functions of a quaternionic variable as covering maps and the existence and nature of global k-th -roots of slice functions. In the setting of slice regular functions of a quaternionic variable, all these results are, to some degree, true; however, the difficulties which are inherent in the quaternionic theory prevent the authors from merging them in a comprehensive geometric description of slice regular functions as mappings from H to H. The purpose, in the present work, is to study the existence and nature of th k . . .
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