Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4619605 | Journal of Mathematical Analysis and Applications | 2010 | 13 Pages |
Abstract
In 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≢0A0≢0, A1,…,Ak−1A1,…,Ak−1 and F≢0F≢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.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Ting-Bin Cao, Jun-Feng Xu, Zong-Xuan Chen,