A metric invariant of mobius transformations

© TUBITAK. The complex unit disk D = z ∈ C: |z| < 1 is endowed with Mobius addition ⊕M defined by We prove that the metric dT defined on D by dT (w, z) = tan -1 |-w ⊕M z| is an invariant of Mobius transformations carrying D onto itself. We also prove that (D, dT) and (D, dp), where dp denotes the...

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Bibliographic Details
Main Authors: Teerapong Suksumran, Oğuzhan Demirel
Format: Journal
Published: 2020
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Online Access:https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85077531230&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/67917
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Institution: Chiang Mai University
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