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某些调和函数的系数估计与像区域的近于凸性质

DOI: 10.11830/ISSN.1000-5013.2013.02.0225

Keywords: 调和函数, 拟共形映照, 系数不等式, 近于凸

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Abstract:

研究定义在单位圆盘D={z||z|<1}上的调和函数类C2H(λ),得到C2H(λ)类中的函数为调和拟共形映照的一个充分条件,并给出调和函数的解析部分、共轭解析部分的系数估计.在调和映照系数模满足一定的条件下,给出该类函数的近于凸单叶半径与星像单叶半径估计,主要结果改进和推广了Kalaj等的相应结论.

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