4 citations · 6 across the 7 of their papers we have counts for
7 papers
On non-oscillatory solutions of the generalized Hill equation
Yueyang Zhang
Let be a complex number with modulus and for two polynomials and . We consider the non-oscillatory solutions such t…
On meromorphic solutions of Malmquist type difference equations
Yueyang Zhang, Risto Korhonen
Recently, the present authors used Nevanlinna theory to provide a classification for the Malmquist type difference equations of the form that have transcend…
On transcendental meromorphic solutions of Hayman's equation
Yueyang Zhang
We present a complete description of the form of transcendental meromorphic solutions of the second order differential equation \begin{equation}\tag† w''w-w'^2+a w'w+b w^2=αw+βw'+γ…
On the oscillation of certain second-order linear differential equations
Yueyang Zhang
This paper consists of three parts: First, letting , , and be nonzero polynomials such that and have the same degree a…
A Malmquist--Steinmetz theorem for difference equations
Yueyang Zhang, Risto Korhonen
It is shown that if the equation \begin{equation*} f(z+1)^n=R(z,f), \end{equation*} where is rational in both arguments and , has a transcendental merom…
A lemma on the difference quotients
Risto Korhonen, Kazuya Tohge, Yueyang Zhang +1
Using a new Borel type growth lemma, we extend the difference analogue of the lemma on the logarithmic derivative due to Halburd and Korhonen to the case of meromorphic functions $…
Existence of meromorphic solutions of first order difference equations
Risto Korhonen, Yueyang Zhang
It is shown that if It is shown that if \begin{equation}\label{abstract_eq} f(z+1)^n=R(z,f),\tag† \end{equation} where is rational in with meromorphic coefficients and…