Abstract
A family of rational functions on the Riemann sphere is studied. These functions leave the unit circle invariant. Dynamics and the topological structure of Julia sets of these mappings are treated from quasiconformal surgery viewpoints. A bifurcation diagram of the family is also studied.
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Ushiki, S. A surgery on Blaschke’s function. Japan J. Appl. Math. 5, 407–429 (1988). https://doi.org/10.1007/BF03167909
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DOI: https://doi.org/10.1007/BF03167909