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# On the k-th root in circular arithmetic

@article{Petkovic1984OnTK, title={On the k-th root in circular arithmetic}, author={Ljiljana D. Petkovic and Miodrag S. Petkovic}, journal={Computing}, year={1984}, volume={33}, pages={27-35} }

- Published 1984 in Computing
DOI:10.1007/BF02243073

The representation of thek-th root of a complex circular intervalZ={c;r} is considered in this paper. Thek-th root is defined by the circular intervals which include the exact regionZ 1/k={z:z k ∈Z}. Two representations are given: (i) the centered inclusive disks $$ \cup \{ c^{{1 \mathord{\left/ {\vphantom {1 k}} \right. \kern-\nulldelimiterspace} k}} ; \mathop {\max }\limits_{z \in Z} |z^{{1 \mathord{\left/ {\vphantom {1 k}} \right. \kern-\nulldelimiterspace} k}} - c^{{1 \mathord{\left… CONTINUE READING