射影空间上涉及q,c阶差分算子的第二基本定理

Second Main Theorem About Holomorphic Maps on P^n(C) Related to q,c-Difference Operators

研究了从复平面C到复射影空间P^n(C)上零级全纯映射的第二基本定理问题。根据其他文献处理重值的方法和技巧,从q,c阶差分算子的角度得到了推广的Nevanlinna第二基本定理,即射影空间P^n上零级全纯映射,涉及q,c阶差分算子Δ_(q,c)f=f(qz+c)-f(z)的第二基本定理.并利用其证明了当f与Δ_(q,c)f CM(计重数)分担至少N+2个处于一般位置的超平面时,W^(Δ_(q,c))(f)≡0.改进和推广了一些处于一般位置超平面的全纯映射唯一性结果.

The second main theorem of holomorphic maps from C into Pn(C)of zero order was studied.According to the method and skill of other documents for processing heavy values,the second main theorem of generalized Nevanlinna was obtained from the view angle of difference operators,that is,the second main theorem about the holomorphic maps of zero order on Pn(C),which are related to the q,c difference operator.By virtue of the theorem,it is proved that WΔq,c(f)≡0,if f andΔq,cf share at least N+2hyperplanes in general positions on Pn(C),and the results of holomorphic maps uniqueness are improved and generalized.