English

Integral formula for the Bessel function of the first kind

Classical Analysis and ODEs 2022-06-29 v2 Mathematical Physics math.MP

Abstract

In this paper, we prove a new integral representation for the Bessel function of the first kind Jμ(z)J_\mu(z). This formula generalizes to any μ,zC\mu,z\in\mathbb{C} the classical representations of Bessel and Poisson.

Cite

@article{arxiv.2012.02887,
  title  = {Integral formula for the Bessel function of the first kind},
  author = {Enrico De Micheli},
  journal= {arXiv preprint arXiv:2012.02887},
  year   = {2022}
}

Comments

8 pages. Added proposition and note. Corrected typos

R2 v1 2026-06-23T20:44:44.758Z