15 citations · 52 across the 47 of their papers we have counts for
48 papers
Asymptotic perimeter estimates for spirallike functions
Zain Shayim Alsharari, Toshiyuki Sugawa
By a result of F. R. Keogh in 1959, we have the inequality for a starlike function on the unit disk, where and denote…
Peschl-Minda derivatives and convergent Wick star products on the disk, the sphere and beyond
Michael Heins, Annika Moucha, Oliver Roth +1
We introduce and study invariant differential operators acting on the space of holomorphic functions on the complement ${Ω=\{(z,w) \in \hat{\mathbb{C}}^2 \, : \, z…
Uniformly perfect sets, Hausdorff dimension, and conformal capacity
Oona Rainio, Toshiyuki Sugawa, Matti Vuorinen
Using the definition of uniformly perfect sets in terms of convergent sequences, we apply lower bounds for the Hausdorff content of a uniformly perfect subset of …
Nonlinear resolvents and decreasing Loewner chains
Ikkei Hotta, Sebastian Schleißinger, Toshiyuki Sugawa
In this article we prove that nonlinear resolvents of infinitesimal generators on bounded and convex subdomains of $\C^n$ are decreasing Loewner chains. Furthermore, we consider th…
Moduli of quadrilaterals and quasiconformal reflection
Semen Nasyrov, Toshiyuki Sugawa, Matti Vuorinen
We study the interior and exterior moduli of polygonal quadrilaterals. The main result is a formula for a conformal mapping of the upper half plane onto the exterior of a convex po…
Harmonic spirallike functions and harmonic strongly starlike functions
Xiu-Shuang Ma, Saminathan Ponnusamy, Toshiyuki Sugawa
Harmonic functions are natural generalizations of conformal mappings. In recent years, a lot of work have been done by some researchers who focus on harmonic starlike functions. In…