贵州师范大学学报:自然科学版
貴州師範大學學報:自然科學版
귀주사범대학학보:자연과학판
Journal of Guizhou Normal University(Natural Sciences)
2012年
3期
55-59
,共5页
亚纯函数%Borel方向%角域特征函数
亞純函數%Borel方嚮%角域特徵函數
아순함수%Borel방향%각역특정함수
meromorphic function%borel direction%angular nevanlinna characteristics
设f(z)与g(z)是复平面上的两个非常数亚纯函数,令h(z)=f(z)g(z).研究了当σ(h)=+∞时,h(z)的无穷级Borel方向与f(z)及g(z)的Borel方向之间的联系,作为推论并证明了当h(z)=f(z)+g(z)时,也有类似的结论.
設f(z)與g(z)是複平麵上的兩箇非常數亞純函數,令h(z)=f(z)g(z).研究瞭噹σ(h)=+∞時,h(z)的無窮級Borel方嚮與f(z)及g(z)的Borel方嚮之間的聯繫,作為推論併證明瞭噹h(z)=f(z)+g(z)時,也有類似的結論.
설f(z)여g(z)시복평면상적량개비상수아순함수,령h(z)=f(z)g(z).연구료당σ(h)=+∞시,h(z)적무궁급Borel방향여f(z)급g(z)적Borel방향지간적련계,작위추론병증명료당h(z)=f(z)+g(z)시,야유유사적결론.
Supposef(z) and g(z) are two non-constant meromorphic functions in the complex plane, set h(z) = f(z)g(z) . In this paper, we investigate the relations between the Borel directions of infi- nite order of h (z) and the Borel directions off(z) and g(z) when tr(h) = + ∞ , and as a corollary, analogs of above conclusions are proved remain true when h(z) = f(z)+ g(z) .