3 papers
math.CV2020
A new intrinsic metric and quasiregular maps
Masayo Fujimura, Marcelina Mocanu, Matti Vuorinen
We introduce a new intrinsic metric in subdomains of a metric space and give upper and lower bounds for it in terms of well-known metrics. We also prove distortion results for this…
math.CV2018
Interior and exterior curves of finite Blaschke products
Masayo Fujimura
In this paper, for a Blaschke product of degree d, we give some geometrical properties that lie between the interior curve and the exterior curve.
math.CV2017
The Ptolemy-Alhazen problem and spherical mirror reflection
Masayo Fujimura, Parisa Hariri, Marcelina Mocanu +1
An ancient optics problem of Ptolemy, studied later by Alhazen, is discussed. This problem deals with reflection of light in spherical mirrors. Mathematically this reduces to the s…