带关联勒让德函数乘积的索引变换
经典分析与常微分方程
2019-04-16 v2
摘要
引入了带关联勒让德函数乘积的索引变换。在勒贝格空间中研究了映射性质。证明了反演公式。结果被应用于求解楔形区域中三阶偏微分方程的边值问题。
引用
@article{arxiv.1904.00926,
title = {Index transforms with the product of the associated Legendre functions},
author = {Semyon Yakubovich},
journal= {arXiv preprint arXiv:1904.00926},
year = {2019}
}
备注
arXiv admin note: substantial text overlap with arXiv:1701.03626