Z. S. Gao
LMIB & School of Mathematics and Systems Science, Beihang University, Beijing, 100191, China.
[ 1 ] - Growth of meromorphic solutions for complex difference equations of Malmquist type
In this paper, we give some necessary conditions for a complex difference equation of Malmquist type $$sum^n_{j=1}f(z+c_j)=frac{P(f(z))}{Q(f(z))},$$ where $n(in{mathbb{N}})geq{2}$, and $P(f(z))$ and $Q(f(z))$ are relatively prime polynomials in $f(z)$ with small functions as coefficients, admitting a meromorphic function of finite order. Moreover, the properties of finite o...
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