Abstract
In this paper we investigate the iterated order, iterated type and iterated convergence exponent of zeros of meromorphic solutions of the equations f ( k ) + A k − 1 ( z ) f ( k − 1 ) + ⋯ + A 1 ( z ) f ′ + A 0 ( z ) f = 0 , f ( k ) + A k − 1 ( z ) f ( k − 1 ) + ⋯ + A 1 ( z ) f ′ + A 0 ( z ) f = F ( z ) , where A 0 ≢ 0 , A 1 , … , A k − 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.
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