把ρ级代数体函数推广到一般化的(m,n,ρ)级代数体函数w(z),并构造了无奇异方向的代数体函数.还证明了任何有穷正级的v值代数体函数w(z)存在强Borel方向,至多除去2v个例外值.若其特征函数满足li mr→∞T(r,w)ln2r=∞,则v值代数体函数w(z)至少有一条弱Borel方向.
The paper generalizes p order of algebroid functions to (m,n,ρ) order of algebroid functions and it constructs some examples of algebroid functions without singular direction, and proves that every v-value algebroid function with finite positive order of growth must posses the Maximality Borel directions outside 2v exceptional values at most. If lim→∞^- T(r,w)/ln^2r=∞ ,w(z) exits a weak borel dorection at least.