Let f be an entire function of finite lower order μ and order λ If the zeros of ff'-1 are attracted to q(<+∞) rays,then λmust be finite.Moreover,we have(i)λ≤1/2,when q=1.(ii)The magnitude of acute angle o...Let f be an entire function of finite lower order μ and order λ If the zeros of ff'-1 are attracted to q(<+∞) rays,then λmust be finite.Moreover,we have(i)λ≤1/2,when q=1.(ii)The magnitude of acute angle of these two rays is exactly equal toπ/λ,when q=2 and μ>1 (iii)There are at least two rays such that the magnitude of acute angle between them does not exceed π/λ,when q≥2展开更多
基金Project supported by the Croucher FoundationTianyuan Foundation+1 种基金partially supported by a U.P.G.C.grantHong Kong
文摘Let f be an entire function of finite lower order μ and order λ If the zeros of ff'-1 are attracted to q(<+∞) rays,then λmust be finite.Moreover,we have(i)λ≤1/2,when q=1.(ii)The magnitude of acute angle of these two rays is exactly equal toπ/λ,when q=2 and μ>1 (iii)There are at least two rays such that the magnitude of acute angle between them does not exceed π/λ,when q≥2