A. Hinkkanen

activity

20162026

collaborators

8 papers

math.CV2026

Hyperbolic-type metrics in space

Aimo Hinkkanen, Poranee Khayo

We define metrics in space that are natural counterparts of the hyperbolic metric in plane domains, using the characterization of the hyperbolic metric due to Beardon and Pommerenk…

math.CV2024

Value sharing and Stirling numbers

Aimo Hinkkanen, Ilpo Laine

Let $f$ be an entire function and $L (f)$ a linear differential polynomial in $f$ with constant coefficients. Suppose that $f$ , $f^{'}$ , and $L (f)$ share a meromorphic function $α (z)$ …

math.CV2024

Maximum and average valence of meromorphic functions

Aimo Hinkkanen, Joseph Miles

If $f$ is a meromorphic function from the complex plane $C$ to the extended complex plane $C$ , for $r > 0$ let $n (r)$ be the maximum number of solu…

math.CV2023

A geometric property of quadrilaterals

Efstathios Konstantinos Chrontsios Garitsis, Aimo Hinkkanen

Quadrilaterals in the complex plane play a significant part in the theory of planar quasiconformal mappings. Motivated by the geometric definition of quasiconformality, we prove th…

math.CV2023

On the hyperbolic metric of certain domains

Aimo Hinkkanen, Matti Vuorinen

We prove that if $E$ is a compact subset of the unit disk $D$ in the complex plane, if $E$ contains a sequence of distinct points $a_{n} \neq = 0$ for $n \geq 1$ such that $\l…

math.CV2021

Asymptotic functions of entire functions

Aimo Hinkkanen, Joseph Miles, John Rossi

If $f$ is an entire function and $a$ is a complex number, $a$ is said to be an asymptotic value of $f$ if there exists a path $γ$ from $0$ to infinity such that $f (z) - a$ tends to…

math.CV2018

Quasiregular families bounded in $L^{p}$ and elliptic estimates

Aimo Hinkkanen, Gaven Martin

We prove that a family of quasiregular mappings of a domain $Ω$ which are uniformly bounded in $L^{p}$ for some $p > 0$ form a normal family. From this we show how an elliptic estimate…

math.CV2016

Equilateral triangle skew condition for quasiconformality

Colleen Ackermann, Peter Haïssinsky, Aimo Hinkkanen

We characterize quasiconformal mappings in terms of the distortion of the vertices of equilateral triangles.