10 citations · 23 across the 13 of their papers we have counts for
15 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…
Generalization of proximate order and applications
Igor Chyzhykov, Petro Filevych, Jouni Rättyä
We introduce a concept of a quasi proximate order which is a generalization of a proximate order and allows us to study efficiently analytic functions whose order and lower order o…
On non-separated zero sequences of solutions of a linear differential equation
Igor Chyzhykov, Jianren Long
Let be a sequence of distinct points in the unit disc without limit points there. We are looking for a function analytic in and such that p…
Estimates of conjugate harmonic functions with given set of singularities with application
Igor Chyzhykov, Yulia Kosanyak
Let be an arbitrary closed set on the unit circle , u be a harmonic function on the unit disk satisfying w…
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…