On a uniform treatment of Darboux's method

DOI10.1007/s00365-004-0562-9zbMath1074.41505OpenAlexW1988862537MaRDI QIDQ1772234

Yu-Qiu Zhao, Roderick Wong

Publication date: 15 April 2005

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00365-004-0562-9

zbMATH Keywords

uniform asymptotic expansionDarboux's methodcoalescing algebraic singularities

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Other functions defined by series and integrals (33E20) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Related Items (8)

Uniform asymptotic expansions of the Pollaczek polynomials ⋮ Error bounds for the asymptotic expansions of the Hermite polynomials ⋮ Recent advances in asymptotic analysis ⋮ A uniform asymptotic expansion for Jacobi polynomials via uniform treatment of Darboux's method ⋮ Uniform asymptotics and zeros of a system of orthogonal polynomials defined via a difference equation ⋮ Uniform asymptotic methods for integrals ⋮ Uniform treatment of Darboux’s method and the Heisenberg polynomials ⋮ Uniform asymptotics for orthogonal polynomials via the Riemann--Hilbert approach

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