Weber and Beltrami integrals of squared spherical Bessel functions: finite series evaluation and high‐index asymptotics

DOI10.1002/mma.2882zbMath1301.33027OpenAlexW1982680514MaRDI QIDQ5420208

Roman Tomaschitz

Publication date: 11 June 2014

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.2882

zbMATH Keywords

Airy approximationspherical Bessel functionWeber integralDebye expansionBeltrami integral

Mathematics Subject Classification ID

Other functions defined by series and integrals (33E20) Numerical approximation and evaluation of special functions (33F05)

Related Items (2)

Bessel integrals in epsilon expansion: squared spherical Bessel functions averaged with Gaussian power-law distributions ⋮ High-index asymptotics of spherical Bessel products averaged with modulated Gaussian power laws

Uses Software

• DLMF

Cites Work

• Integral representations for products of Airy functions
• Asymptotics of the hypergeometric function
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