Bessel function asymptotics: a relation due to Lommel

2018/07/30 by P. L. Robinson, Robinson, P. L.
Physics and Astronomy · #30E15 #33C10 #Classical Analysis and ODEs (math.CA) #Complex Variables (math.CV) #FOS: Mathematics #Quantum chaos and dynamical systems

paper · pdf · doi:10.48550/arxiv.1808.01259

openalex publication_date 2018/07/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that the Bessel function asymptotic relation J_ν²(z) + J_{ν+ 1}² (z) ∼ 2/(πz) of Lommel is valid when z is real but can fail otherwise.

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