High-index asymptotics of spherical Bessel products averaged with modulated Gaussian power laws

DOI10.1007/s00033-013-0370-9zbMath1333.33006OpenAlexW2160847797MaRDI QIDQ2253941

Roman Tomaschitz

Publication date: 13 February 2015

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-013-0370-9

zbMATH Keywords

Lommel polynomialsGaussian power-law densitiesKummer distributionsAiry functionsspherical Bessel functionsHankel serieshigh-index asymptoticsNicholson approximation

Mathematics Subject Classification ID

Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) 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 ⋮ Primordial gravitational waves from galaxy intrinsic alignments

Uses Software

• DLMF

Cites Work

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• Bessel integrals in epsilon expansion: squared spherical Bessel functions averaged with Gaussian power-law distributions
• Moment integrals of powers of Airy functions
• Integral representations for products of Airy functions. II: Cubic products
• Integral representations for products of Airy functions. III: Quartic products
• Integral representations for products of Airy functions
• Weber and Beltrami integrals of squared spherical Bessel functions: finite series evaluation and high‐index asymptotics

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