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, NİHAL
(2025)
"On the images of n-ellipses under the Möbius transformations,"
Turkish Journal of Mathematics: Vol. 49:
No.
3, Article 9.
https://doi.org/10.55730/1300-0098.3594
Available at:
https://journals.tubitak.gov.tr/math/vol49/iss3/9