#### Zong-Xuan Chen's Articles: (4)

AbstractIn this paper, we classify the functions of small growth in the unit disc to different degree, and investigate the growth of solutions for certain linear differential equations with coefficients of small growth in the unit disc.

AbstractLet f be a transcendental meromorphic function and g(z)=f(z+1)−f(z). A number of results are proved concerning the existences of zeros and fixed points of g(z) or g(z)/f(z) which expand results of Bergweiler and Langley [W. Bergweiler, J.K. Langley, Zeros of differences of meromorphic functions, Math. Proc. Cambridge Philos. Soc. 142 (2007) 133–147].

AbstractIn this paper we investigate the iterated order, iterated type and iterated convergence exponent of zeros of meromorphic solutions of the equationsf(k)+Ak−1(z)f(k−1)+⋯+A1(z)f′+A0(z)f=0,f(k)+Ak−1(z)f(k−1)+⋯+A1(z)f′+A0(z)f=F(z), where A0≢0, A1,…,Ak−1 and F≢0 are meromorphic on the complex plane. We improve and extend many results due to Z.-X. Chen, Z.-X. Chen and C.-C. Yang, L. Kinnunen, B. Belaïdi, J. Tu and C.-F. Yi, T.-B. Cao and H.-X. Yi and others. The fixed points of solutions are also considered in this paper. Some errors in earlier papers of the present authors and others are pointed out.

AbstractIn this paper, we study growth and zeros of linear difference equationsPn(z)f(z+n)+⋯+P1(z)f(z+1)+P0(z)f(z)=F(z) where F(z),Pn(z),…,P0(z) are polynomials with FPnP0≢0 and satisfy deg(Pn+⋯+P0)=max{degPj:j=0,…,n}⩾1. The corresponding homogeneous equation of the above equation is also investigated.