6 citations · 16 across the 6 of their papers we have counts for
10 papers
Irregular finite order solutions of complex LDE's in unit disc
Igor Chyzhykov, Petro Filevych, Janne Gröhn +2
It is shown that the order and the lower order of growth are equal for all non-trivial solutions of if and only if the coefficient is analytic in the unit disc…
Oscillation of solutions of LDE's in domains conformally equivalent to unit disc
Igor Chyzhykov, Janne Gröhn, Janne Heittokangas +1
Oscillation of solutions of is studied in domains conformally equivalent to the unit disc. The results are applied, for e…
Description of growth and oscillation of solutions of complex LDE's
Igor Chyzhykov, Janne Gröhn, Janne Heittokangas +1
It is known that, equally well in the unit disc as in the whole complex plane, the growth of the analytic coefficients of \begin{equation*} f^{(k)} + A_{k-2} f…
Converse growth estimates for ODEs with slowly growing solutions
Janne Gröhn
Let be linearly independent solutions of , where the coefficient is an analytic function in the open unit disc of . It is shown tha…
Solutions of complex differential equation having zeros on pre-given sequences
Janne Gröhn
Behavior of solutions of is discussed under the assumption that is analytic in and , where i…
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…