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PreprintCC BY-NC-SA 4.0arXiv

Indefinite integrals of Bessel and Struve functions with half-integer indices, and incomplete gamma functions with integer indices, all multiplied by Exp(−ax2) and divided by powers

  • Jack C. Straton
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Abstract

Indefinite integrals are found for 63 half-integer Bessel and Struve functions, and incomplete gamma functions with integer indices, each multiplied by Exp(−ax2) 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. Three infinite sets of auxiliary integrals are also given.

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Cite

BibTeXRIS
BibTeX
@misc{straton2026indefinite,
  title = {{Indefinite integrals of Bessel and Struve functions with half-integer indices, and incomplete gamma functions with integer indices, all multiplied by $Exp(-ax^2)$ and divided by powers}},
  author = {Jack C. Straton},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2608.14751},
  eprint = {2608.14751},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2608.14751},
  note = {CC BY-NC-SA 4.0},
}
RIS
TY  - UNPB
TI  - Indefinite integrals of Bessel and Struve functions with half-integer indices, and incomplete gamma functions with integer indices, all multiplied by Exp(−ax^2) and divided by powers
AU  - Jack C. Straton
PY  - 2026
DA  - 2026/11/03
PB  - arXiv
DO  - 10.48550/arxiv.2608.14751
UR  - https://arxiv.org/abs/2608.14751
AB  - 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. Three infinite sets of auxiliary integrals are also given.
ER  -