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The purpose of this paper is twofold. The first is to weaken or omit the condition for i ≠ j in some previous uniqueness theorems for meromorphic mappings. The second is to decrease the number q of hyperplanes such that f(z) = g(z) on , where f,g are meromorphic mappings.
Feng Lü. "On the uniqueness problem for meromorphic mappings with truncated multiplicities." Annales Polonici Mathematici 112.2 (2014): 165-179. <http://eudml.org/doc/280890>.
@article{FengLü2014, abstract = {The purpose of this paper is twofold. The first is to weaken or omit the condition $dim f^\{-1\}(H_i ∩ H_j) ≤ m-2$ for i ≠ j in some previous uniqueness theorems for meromorphic mappings. The second is to decrease the number q of hyperplanes $H_j$ such that f(z) = g(z) on $⋃_\{j=1\}^\{q\}f^\{-1\}(H_j)$, where f,g are meromorphic mappings.}, author = {Feng Lü}, journal = {Annales Polonici Mathematici}, keywords = {meromorphic mappings; truncated multiplicities; uniqueness theorems; hyperplanes; Nevanlinna theory}, language = {eng}, number = {2}, pages = {165-179}, title = {On the uniqueness problem for meromorphic mappings with truncated multiplicities}, url = {http://eudml.org/doc/280890}, volume = {112}, year = {2014}, }
TY - JOUR AU - Feng Lü TI - On the uniqueness problem for meromorphic mappings with truncated multiplicities JO - Annales Polonici Mathematici PY - 2014 VL - 112 IS - 2 SP - 165 EP - 179 AB - The purpose of this paper is twofold. The first is to weaken or omit the condition $dim f^{-1}(H_i ∩ H_j) ≤ m-2$ for i ≠ j in some previous uniqueness theorems for meromorphic mappings. The second is to decrease the number q of hyperplanes $H_j$ such that f(z) = g(z) on $⋃_{j=1}^{q}f^{-1}(H_j)$, where f,g are meromorphic mappings. LA - eng KW - meromorphic mappings; truncated multiplicities; uniqueness theorems; hyperplanes; Nevanlinna theory UR - http://eudml.org/doc/280890 ER -