Liouville-Green expansions of exponential form, with an application to modified Bessel functions
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Publication:4961010
DOI10.1017/prm.2018.117zbMath1437.34086arXiv1708.00548OpenAlexW2963385390WikidataQ115563600 ScholiaQ115563600MaRDI QIDQ4961010
Publication date: 24 April 2020
Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1708.00548
Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Asymptotics and summation methods for ordinary differential equations in the complex domain (34M30) Linear ordinary differential equations and systems in the complex domain (34M03)
Related Items (5)
Sharp error bounds for turning point expansions ⋮ On the Borel summability of WKB solutions of certain Schrödinger-type differential equations ⋮ Uniform asymptotic expansions for Gegenbauer polynomials and related functions via differential equations having a simple pole ⋮ Simplified error bounds for turning point expansions ⋮ Uniform asymptotic expansions for solutions of the parabolic cylinder and Weber equations
Cites Work
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- Asymptotics of the eigenvalues of the rotating harmonic oscillator
- Computation of asymptotic expansions of turning point problems via Cauchy's integral formula: Bessel functions
- Uniform Asymptotic Solutions of a Class of Second-Order Linear Differential Equations Having a Turning Point and a Regular Singularity, with an Application to Legendre Functions
- Second-order linear differential equations with two turning points
- Uniform Asymptotic Solutions of Second-Order Linear Differential Equations Having a Simple Pole and a Coalescing Turning Point in the Complex Plane
- Error Bounds for Asymptotic Expansions in Turning-Point Problems
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