Turkish Journal of Mathematics
Author ORCID Identifier
NİHAL ÖZGÜR: 0000-0002-8152-1830
Abstract
In this paper, we examine the images of n-ellipses under the Möbius transformations (linear fractional transformations) for n ≥ 3. As a result of this investigation, we present a new and generalized version (called n-generalized Apollonius circle) of the concept of an Apollonius circle in the plane.
DOI
10.55730/1300-0098.3594
Keywords
inversion, M\"{o}bius transformation, n-ellipse, similarity transformation
First Page
359
Last Page
371
Publisher
The Scientific and Technological Research Council of Türkiye (TÜBİTAK)
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
Recommended Citation
ÖZGÜR, N (2025). On the images of n-ellipses under the Möbius transformations. Turkish Journal of Mathematics 49 (3): 359-371. https://doi.org/10.55730/1300-0098.3594
