Bicomplex Mobius Transformation
Chinmay Ghosh
TL;DR
This paper introduces the bicomplex version of Mobius transformations, focusing on defining these transformations and analyzing their fixed points within the bicomplex number system.
Contribution
It defines bicomplex Mobius transformations and investigates their fixed points, extending classical Mobius transformation theory to bicomplex numbers.
Findings
Defined bicomplex Mobius transformations
Identified fixed points of these transformations
Extended classical theory to bicomplex setting
Abstract
In this article the bicomplex version of Mobius transformation is defined and special attention is paid to find the fixed points of a bicomplex Mobius transformation.
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Taxonomy
TopicsAdvanced Materials and Mechanics · Control and Dynamics of Mobile Robots · Mathematics and Applications