Discrete and Continuous Liouville–Green–Olver Approximations: a Unified Treatment via Volterra–Stieltjes Integral Equations

DOI10.1137/S0036141092231215zbMath0791.39006OpenAlexW1977936038MaRDI QIDQ4292659

Marco Vianello, Renato Spigler

Publication date: 4 July 1994

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0036141092231215

zbMATH Keywords

orthogonal polynomialslinear differential equationserror boundslinear difference equationscomplex-valued measuresVolterra-Stieltjes integral equationsLiouville-Green (WKBJ) approximation

Mathematics Subject Classification ID

Real- or complex-valued set functions (28A10) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Discrete version of topics in analysis (39A12) Volterra integral equations (45D05)

Related Items (5)

Canonical forms and discrete Liouville-Green asymptotics for second-order linear difference equations ⋮ Error bounds for asymptotic solutions of second-order linear difference equations. II: The first case ⋮ Asymptotic approximations for second-order linear difference equations in Banach algebras. II ⋮ Monotone Jacobi parameters and non-Szegő weights ⋮ Liouville-Green-Olver approximations for complex difference equations

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