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Angular Distribution of Values of ff' 被引量:3

Angular Distribution of Values of ff'
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摘要 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 Let f be an entire function of finite lower order μ and order λ If the zeros of ff’-1 are attracted to q(&lt;+∞) 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&gt;1 (iii)There are at least two rays such that the magnitude of acute angle between them does not exceed π/λ,when
作者 杨乐 杨重骏
出处 《Science China Mathematics》 SCIE 1994年第3期284-294,共11页 中国科学:数学(英文版)
基金 Project supported by the Croucher Foundation Tianyuan Foundation partially supported by a U.P.G.C.grant Hong Kong
关键词 entire FUNCTION ANGULAR distribution ANGULAR characteristic FUNCTION FILLING DISKS entire function,angular distribution,angular characteristic function,filling disks
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