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arXiv · 2012.02887

Integral formula for the Bessel function of the first kind

Enrico De Micheli
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Abstract

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

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Enrico De Micheli. 2020-12-04. Integral formula for the Bessel function of the first kind. https://doi.org/10.1007/s10231-021-01144-z

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