It is well-known that the logarithmic coefficients play an important role in the development of the theory of univalent functions. If denotes the class of functions analytic and univalent in the open unit disk , then the logarithmic coefficients of the function are defined by . In the current paper, the bounds for the logarithmic coefficients for some well-known classes like for and were estimated. Further, conjectures for the logarithmic coefficients for functions belonging to these classes are stated. For example, it is forecasted that if the function , then the logarithmic coefficients of satisfy the inequalities Equality is attained for the function , that is,

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凸函数相关类的对数系数界和系数猜想

众所周知，对数系数在单价函数理论的发展中起着重要的作用。if表示函数的类别在开元圆盘中解析和单价，则函数的对数系数 定义为 . 在当前的论文中，一些众所周知的类的对数系数的界限，如 为了 和 估计。此外，还陈述了对属于这些类的函数的对数系数的猜想。例如，预测如果函数，则对数系数满足不等式函数 达到相等，即