On the k-th root in circular arithmetic

  title={On the k-th root in circular arithmetic},
  author={Ljiljana D. Petkovic and Miodrag S. Petkovic},
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

From This Paper

Figures, tables, and topics from this paper.


Publications citing this paper.


Publications referenced by this paper.
Showing 1-4 of 4 references

The representation of complex circular functions using Taylor series

  • Petkovid, Lj, M. Petkovid
  • Z A M M 61,
  • 1981
1 Excerpt

On a representation of the k-th root in complex circular arithmetic

  • M. Petkovid, Petkovid, Lj
  • Interval Mathematics
  • 1980
1 Excerpt

Circular arithmetic and the determination of polynomial zeros

  • Gargantini, P. Henrici
  • Numer. Math. 18,
  • 1972
1 Excerpt

Similar Papers

Loading similar papers…