含关联勒让德函数平方的列别杰夫型指数变换
经典分析与常微分方程
2017-01-16 v1
摘要
经典的列别杰夫指数变换(1967)涉及勒让德函数的平方与乘积，本文将其推广到任意阶的关联勒让德函数。在Lebesgue空间中研究了映射性质。证明了反演公式。作为一个有趣的应用，得到了三阶偏微分方程边值问题的解。
引用
@article{arxiv.1701.03626,
title = {Lebedev's type index transforms with the squares of the associated Legendre functions},
author = {Semyon Yakubovich},
journal= {arXiv preprint arXiv:1701.03626},
year = {2017}
}
备注
arXiv admin note: text overlap with arXiv:1509.08723