5 papers · 1 filter
A new proximity function estimate on the quotient of the difference and the derivative of a meromorphic function
Lasse Asikainen, Juha-Matti Huusko, Risto Korhonen
It is shown that, under certain assumptions on the growth and value distribution of a meromorphic function , \begin{equation*} m\left(r,\frac{Δ_cf - ac}{f' - a}\right)=S(r,f'…
Linear differential equations with solutions in weighted Fock spaces
Guangming Hu, Juha-Matti Huusko
This research is concerned with the nonhomogeneous linear complex differential equation in the complex plane. In the high…
On Becker's univalence criterion
Juha-Matti Huusko, Toni Vesikko
We study locally univalent functions analytic in the unit disc of the complex plane such that holds for all $z\in\mathbb{…
Criteria for bounded valence of harmonic mappings
Juha-Matti Huusko, María J. Martín
In 1984, Gehring and Pommerenke proved that if the Schwarzian derivative of a locally univalent analytic function in the unit disk satisfies that $\limsup_{|z|\to 1} |S(…
Linear differential equations with slowly growing solutions
Janne Gröhn, Juha-Matti Huusko, Jouni Rättyä
This research concerns coefficient conditions for linear differential equations in the unit disc of the complex plane. In the higher order case the separation of zeros (of maximal…