Yue-Yang Zhang

collaborators

4 papers

math.CV2024

On the modulus of solutions of a first order differential equation

Yueyang Zhang

Let $P (z) = z^{n} + a_{n - 2} z^{n - 2} + \dots + a_{0}$ be a nonconstant polynomial and $S (z)$ be a nonzero rational function and denote $h (z) = S (z) e^{P (z)}$ . Let $θ \in (0, π /2 n)$ be a constant an…

math.CV2024

Zero order meromorphic solutions of $q$ -difference equations of Malmquist type

Risto Korhonen, Yueyang Zhang

We consider the first order $q$ -difference equation \begin{equation}\tag† f(qz)^n=R(z,f), \end{equation} where $q \neq = 0, 1$ is a constant and $R (z, f)$ is rational in both arguments.…

math.CV2023

Zero distribution of finite order Bank--Laine functions

Yueyang Zhang

It is known that a Bank-Laine function $E$ is a product of two normalized solutions of the second order differential equation $f " + A f = 0$ $(†)$ , where $A = A (z)$ is an entire fun…

math.CV2023

Bank-Laine functions with preassigned number of zeros

Yueyang Zhang

A Bank--Laine function $E$ is written as $E = f_{1} f_{2}$ for two normalized solutions $f_{1}$ and $f_{2}$ of the second order differential equation $f^{''} + A f = 0$ , where $A$ is an entire functi…

On the modulus of solutions of a first order differential equation

Zero order meromorphic solutions of q-difference equations of Malmquist type

Zero distribution of finite order Bank--Laine functions

Bank-Laine functions with preassigned number of zeros

Zero order meromorphic solutions of $q$ -difference equations of Malmquist type