Uniform enclosures for the phase and zeros of Bessel functions and their derivatives
CoRR(2024)
摘要
We prove explicit uniform two-sided bounds for the phase functions of Bessel
functions and of their derivatives. As a consequence, we obtain new enclosures
for the zeros of Bessel functions and their derivatives in terms of inverse
values of some elementary functions. These bounds are valid, with a few
exceptions, for all zeros and all Bessel functions with non-negative indices.
We provide numerical evidence showing that our bounds either improve or closely
match the best previously known ones.
更多查看译文
AI 理解论文
溯源树
样例
生成溯源树,研究论文发展脉络
Chat Paper
正在生成论文摘要