A. Hinkkanen

collaborators

5 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

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.CV2024

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.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 $I^\pm (z)$ …

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…