论文标题
转折点扩展的急剧错误界限
Sharp error bounds for turning point expansions
论文作者
论文摘要
对于具有简单转折点的线性微分方程的渐近扩展，可计算和尖锐的误差边界。扩展涉及通风函数和缓慢变化的系数函数。边界的清晰度通过数值说明，并应用于大阶的贝塞尔函数。
Computable and sharp error bounds are derived for asymptotic expansions for linear differential equations having a simple turning point. The expansions involve Airy functions and slowly varying coefficient functions. The sharpness of the bounds is illustrated numerically with an application to Bessel functions of large order.
