超越代数体函数与其亏函数的关系

On the Relations Between a Transcendental Algebroidal Function and its Deficient Small Meromorphic Functions

设f(z)为(1)式定义的n值超越代数体函数,如存在n+1个亚纯函数φ_i(i=0,1,…,n),满足: ?? 则f(z)的级为正整数或无穷且正规增长.

This paper proves that the order of an n-valued transcendental algebroidal function with n+1 deficient small meromorphic functions is an integer or infinite and this function is of regular growth.