AI 中文总结
本研究求出63类乘$Exp(-ax^{2})$且除以幂次的特殊函数不定积分，给出拆分为奇偶部分的单一项级数解及8个相关级数积分，丰富了特殊函数积分结果。
AI 中文摘要
本文求出了63个半整数阶贝塞尔函数、斯特鲁维函数以及整数阶不完全伽马函数的不定积分，每个函数均乘以$Exp(-ax^{2})$并除以幂次。针对此类函数中（任意逆幂次的）单个项，给出了拆分为奇偶部分的级数解。还给出了8个涉及这些级数的积分。
英文摘要
Indefinite integrals are found for 63 half-integer Bessel and Struve functions, and incomplete gamma functions with integer indices, each multiplied by $Exp(-ax^{2})$ and divided by powers. A series solution is given for the individual terms (of any inverse power) in such functions, split into even and odd portions. Eight integrals are given involving these series.
Comments22 pages
