Convergent Expansions for Solutions of Linear Ordinary Differential Equations Having a Simple Turning Point, with an Application to Bessel Functions

DOI10.1111/1467-9590.00188zbMath1152.34394OpenAlexW2147162591MaRDI QIDQ4784745

Publication date: 11 December 2002

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1111/1467-9590.00188

Mathematics Subject Classification ID

Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Asymptotics and summation methods for ordinary differential equations in the complex domain (34M30)

Related Items (5)

Convergent and asymptotic expansions of solutions of second-order differential equations with a large parameter ⋮ On the Borel summability of WKB solutions of certain Schrödinger-type differential equations ⋮ Existence and uniqueness of exact WKB solutions for second-order singularly perturbed linear ODEs ⋮ Convergent Expansions for Solutions of Linear Ordinary Differential Equations Having a Simple Pole, with an Application to Associated Legendre Functions ⋮ Simplified error bounds for turning point expansions

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