PreprintCC BY 4.0arXiv
On Some Special Cases of the Weber-Schafheitlin Integral
Abstract
We consider special cases of the discontinuous Weber--Schafheitlin integral in which the orders μ and ν of the Bessel functions differ by an integer and the exponent λ equals $0$ or ±1, with μ−ν+λ odd. Explicit closed-form results are obtained in terms of Jacobi polynomials.
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BibTeX
@misc{zborovskii2026some,
title = {{On Some Special Cases of the Weber-Schafheitlin Integral}},
author = {V. G. Zborovskii},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.40730},
eprint = {2610.40730},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.40730},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - On Some Special Cases of the Weber-Schafheitlin Integral
AU - V. G. Zborovskii
PY - 2026
DA - 2026/10/29
PB - arXiv
DO - 10.48550/arxiv.2610.40730
UR - https://arxiv.org/abs/2610.40730
AB - We consider special cases of the discontinuous Weber--Schafheitlin integral in which the orders μ and ν of the Bessel functions differ by an integer and the exponent λ equals $0$ or ±1, with μ−ν+λ odd. Explicit closed-form results are obtained in terms of Jacobi polynomials.
ER -