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PreprintarXiv licencearXiv

Random walk and Weber-Schafheitlin integral: generalizations and discussion

  • O. I. Marichev
  • E. L. Shishkina
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Abstract

This paper presents a study of the Weber-Schafheitlin integral and its connections to random walk theory. The Weber-Schafheitlin integral, defined as the improper integral of a product of Bessel functions, arises naturally in the evaluation of probability distributions for multidimensional random walks. This work bridges pure special function theory with applied probability.

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Cite

BibTeXRIS
BibTeX
@misc{marichev2026random,
  title = {{Random walk and Weber-Schafheitlin integral: generalizations and discussion}},
  author = {O. I. Marichev and E. L. Shishkina},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.06748},
  eprint = {2609.06748},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.06748},
}
RIS
TY  - UNPB
TI  - Random walk and Weber-Schafheitlin integral: generalizations and discussion
AU  - O. I. Marichev
AU  - E. L. Shishkina
PY  - 2026
DA  - 2026/09/06
PB  - arXiv
DO  - 10.48550/arxiv.2609.06748
UR  - https://arxiv.org/abs/2609.06748
AB  - This paper presents a study of the Weber-Schafheitlin integral and its connections to random walk theory. The Weber-Schafheitlin integral, defined as the improper integral of a product of Bessel functions, arises naturally in the evaluation of probability distributions for multidimensional random walks. This work bridges pure special function theory with applied probability.
ER  -