On one-sided series of Bessel functions of the first kind: $\sum_{m=0}^{\infty} (\pm 1)^m J_{Nm+p}(x)$
Year: 2026
Type: preprint
Abstract: We present generic expressions for one-sided series of Bessel functions of the first kind: $\sum_{m=0}^{\infty} J_{Nm+p}(x)$ and $\sum_{m=0}^{\infty} (-1)^m J_{Nm+p}(x)$. The result is expressed in terms of incomplete Lipschitz-Hankel integrals of Bessel functions of the first kind, which can be represented as Kampé de Fériet functions.
Source: arXiv (Cornell University)
Author: Kornilov, Matwey V.
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7212113789