库仑波函数零点的McMahon型渐近展开
McMahon-type asymptotic expansions of the zeros of the Coulomb wave functions
AI总结：
本文推导了库仑波函数及其导数大零点的McMahon型渐近展开，该展开在参数为零时退化为贝塞尔函数零点的McMahon展开，并通过数值测试验证了其精度。
摘要：
我们推导了库仑波函数及其导数的大零点渐近展开。新的展开形式与贝塞尔函数零点的McMahon展开相同，并且当某个参数等于零时，它们可约化为后者。文中提供了数值测试以验证这些展开的精度。
英文摘要：
We derive asymptotic expansions of the large zeros of the Coulomb wave functions and for those of their derivatives. The new expansions have the same form as the McMahon expansions of the zeros of the Bessel functions and reduce to them when a parameter is equal to zero. Numerical tests are provided to demonstrate the accuracy of the expansions.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
