论文标题
Khinchin家庭，设定建筑，分区和指数
Khinchin families, set constructions, partitions and exponentials
论文作者
论文摘要
在本文中，我们提供了一个简单的标准，以验证$ e^g $的功能是否在Hayman类中，当$ G $是具有非负系数的电源系列时。因此，使用Hayman和Báez-Duarte公式，我们获得了在分析组合中许多集合结构示例中产生的生成函数系数的渐近学。这个新标准大大简化了作者先前获得的。
In this paper, we give a simple criterion to verify that functions of the form $e^g$ are in the Hayman class when $g$ is a power series with nonnegative coefficients. Thus, using the Hayman and Báez-Duarte formulas, we obtain asymptotics for the coefficients of generating functions that arise in many examples of set construction in analytic combinatorics. This new criterion greatly simplifies that obtained previously by the authors.
