Many indefinite integrals are derived for Bessel functions and associated Legendre functions from particular transformations of their differential equations which are closely linked to Wronskians. A large portion of the results for Bessel functions is known, but all the results for associated Legendre functions appear to be new. The method can be applied to many other special functions. All results have been checked by differentiation using Mathematica.

中文翻译：

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来自 Wronskians 的不定积分和相关的线性二阶微分方程

贝塞尔函数和相关勒让德函数的许多不定积分是从它们与 Wronskians 密切相关的微分方程的特定变换推导出来的。贝塞尔函数的大部分结果是已知的，但相关勒让德函数的所有结果似乎都是新的。该方法可以应用于许多其他特殊功能。所有结果均已使用 Mathematica 进行微分检查。