Bessel函数与Buhmann径向基函数积分正性的推广
经典分析与常微分方程
2018-05-31 v1
摘要
对于形如\begin{equation*} \int_0^x \left(x^\mu-t^\mu\right)^\lambda t^\alpha J_\beta(t)dt\qquad(x>0) \end{equation*}的Bessel积分，我们利用与广义超几何函数的新正性判据改进已知的正性结果。作为应用，我们推广了Buhmann的紧支撑径向基函数类。
引用
@article{arxiv.1805.11863,
title = {An extension of positivity for integrals of Bessel functions and Buhmann's radial basis functions},
author = {Yong-Kum Cho and Seok-Young Chung and Hera Yun},
journal= {arXiv preprint arXiv:1805.11863},
year = {2018}
}
备注
15 pages, 4 figures