论文标题
标准化贝塞尔功能的星光射线的渐近扩展
Asymptotic expansions for the radii of starlikeness of normalised Bessel functions
论文作者
论文摘要
考虑到两种标准化贝塞尔功能的星光射线的大阶，相对于大阶的渐近行为被考虑。我们为Starlikeness的半径提供了完整的渐近扩张，并为这些扩展的系数提供了复发关系。证据依赖于瑞利总和和渐近反演的概念。本文中采用的技术对于处理涉及渐近扩张的反转的类似问题可能很有用。
The asymptotic behaviour, with respect to the large order, of the radii of starlikeness of two types of normalised Bessel functions is considered. We derive complete asymptotic expansions for the radii of starlikeness and provide recurrence relations for the coefficients of these expansions. The proofs rely on the notion of Rayleigh sums and asymptotic inversion. The techniques employed in the paper could be useful to treat similar problems where inversion of asymptotic expansions is involved.
