3 citations · 6 across the 2 of their papers we have counts for
2 papers
math.CV2014★ 3 cited
Numerical solution of the Beltrami equation via a purely linear system
R. Michael Porter, Hirokazu Shimauchi
An effective algorithm is presented for solving the Beltrami equation df/dz = mu (df/dzbar) in a planar disk. The disk is triangulated in a simple way and f is approximated by piec…
math.DS2013★ 3 cited
A remark on Zagier's observation of the Mandelbrot set
Hirokazu Shimauchi
We investigate the arithmetic properties of the coefficients for the normalized conformal mapping of the exterior of the Multibrot set. In this paper, an estimate of the prime fact…