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Entire Functions with Separated Zeros and 1-Points
Computational Methods and Function Theory ( IF 0.6 ) Pub Date : 2020-09-14 , DOI: 10.1007/s40315-020-00349-2 Walter Bergweiler , Alexandre Eremenko
中文翻译:
带有零和零点的整函数
更新日期:2020-09-14
Computational Methods and Function Theory ( IF 0.6 ) Pub Date : 2020-09-14 , DOI: 10.1007/s40315-020-00349-2 Walter Bergweiler , Alexandre Eremenko
We consider transcendental entire functions of finite order for which the zeros and 1-points are in disjoint sectors. Under suitable hypotheses on the sizes of these sectors we show that such functions must have a specific form, or that such functions do not exist at all.
中文翻译:
带有零和零点的整函数
我们考虑零和一点在不相交的扇区中的有限阶先验整体函数。在关于这些部门的规模的适当假设下,我们表明此类功能必须具有特定的形式,或者此类功能根本不存在。