【摘要】 区域D上的代数体函数族W={W_a（z）:φ（z,w_a）=A_k,a（z）w_a^k+A_0,a（z）=0,α∈Λ}（Λ为一指标集）.若W中每个代数体函数都不取a₁,a₂,a₃三个互异的复数（其中a_i^k≠a_j^k,i≠j,i,j=1,2,3.）或不取2k+1个互异的复数,则W在D内正规.更多还原

【Abstract】 This paper prove a theorem on family of Algebroidal functions that if the range of each function W_a（z） in the family doesn’t include 3 distinct complex numbers a₁,a₂,a₃（a_i^k≠a_j^k,i≠j,i;j=1,2,3） respectively or the range of any numbers in the family doesn’t include 2k+1 distinct complex numbers,then the family is normal in its domain.更多还原