Coefficient estimates for bi-univalent Ma-Minda starlike and convex functions

Coefficient estimates for bi-univalent Ma-Minda starlike and convex functions
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DOI:
10.1016/j.aml.2011.09.012
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发表时间:
2011-08
期刊:
Appl. Math. Lett.
影响因子:
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通讯作者:
R. Ali;S. Lee;V. Ravichandran;Shamani Supramaniam
R. Ali;S. Lee;V. Ravichandran;Shamani Supramaniam
中科院分区:
其他
文献类型:
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作者:
R. Ali;S. Lee;V. Ravichandran;Shamani Supramaniam

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给出了单位圆盘上正规解析函数f的初始系数的估计,其中f及其逆g=f− 1满足条件zf′(z)/f(z)和zg′(z)/g(z)都从属于一个单叶函数,该单叶函数的值域关于真实的轴对称。几个相关类的功能也被认为是,并连接到早期已知的结果。
Estimates on the initial coefficients are obtained for normalized analytic functions f in the open unit disk with f and its inverse g=f−1satisfying the conditions that zf′(z)/f(z) and zg′(z)/g(z) are both subordinate to a univalent function whose range is symmetric with respect to the real axis. Several related classes of functions are also considered, and connections to earlier known results are made.