on the defects of holomorphic curves
Bull. Korean Math. Soc.
Published online March 3, 2020
Liu Yang and Ting Zhu
Anhui University of Technology
Abstract : In this paper we consider the holomorphic curves (or derived holomorphic curves introduced by Toda (N. Toda, An extension of the derivative of meromorphic functions to holomorphic curves, Proc. Japan Acad. Ser. A Math. Sci., 70 (1994) 159-163.)with maximal defect sum in the complex plane. Some well-known theorems on meromorphic functions of finite order with maximal sum of defects are extended to holomorphic curves in projective space.
Keywords : holomorphic curve, maximum defect sum, characteristic function
MSC numbers : 32H30, 30D35
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