Error bounds for uniform asymptotic expansions-modified Bessel function of purely imaginary order

DOI10.1007/s11401-010-0598-zzbMath1204.41025OpenAlexW1983905594MaRDI QIDQ606383

Roderick Wong, Wei Shi

Publication date: 17 November 2010

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11401-010-0598-z

zbMATH Keywords

Airy functionuniform asymptotic expansionmodified Bessel function of purely imaginary order

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Other functions defined by series and integrals (33E20)

Related Items (1)

Simplified error bounds for turning point expansions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Symbolic evaluation of coefficients in Airy-type asymptotic expansions
• Error Bounds for Asymptotic Expansions of Integrals
• Uniform Airy-Type Expansions of Integrals
• Uniform asymptotic expansions of integrals with stationary point near algebraic singularity
• An Integral Representation for the Modified Bessel Function of the Third Kind, Computable for Large, Imaginary Order
• Asymptotic Expansions of the Modified Bessel Function of the Third Kind of Imaginary Order
• On Kelvin's ship-wave pattern
• Diffraction of pulses by a circular cylinder

This page was built for publication: Error bounds for uniform asymptotic expansions-modified Bessel function of purely imaginary order