LINEAR DIFFERENCE EQUATIONS WITH A TRANSITION POINT AT THE ORIGIN

DOI10.1142/S0219530513500371zbMath1288.41007arXiv1303.4846MaRDI QIDQ2874132

Yutian Li, Li-Hua Cao

Publication date: 28 January 2014

Published in: Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.4846

zbMATH Keywords

orthogonal polynomialsBessel functionsdifference equationuniform asymptotic expansionsthree-term recurrence relationstransition point

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Additive difference equations (39A10)

Related Items (9)

Recent advances in asymptotic analysis ⋮ Asymptotic expansion of orthogonal polynomials via difference equations ⋮ Plancherel-Rotach asymptotics of second-order difference equations with linear coefficients ⋮ Plancherel-Rotach asymptotic expansion for some polynomials from indeterminate moment problems ⋮ Asymptotics of the Charlier polynomials via difference equation methods ⋮ Convergent and asymptotic methods for second-order difference equations with a large parameter ⋮ Asymptotics of linear recurrences ⋮ Asymptotics of the Wilson polynomials ⋮ Asymptotic approximations of the continuous Hahn polynomials and their zeros

Uses Software

• DLMF

Cites Work

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