Uniform asymptotic expansions of the Tricomi-Carlitz polynomials

DOI10.1090/S0002-9939-10-10301-3zbMath1202.41032OpenAlexW1966850250MaRDI QIDQ3574826

No author found.

Publication date: 2 July 2010

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-10-10301-3

zbMATH Keywords

difference equationuniform asymptotic expansionTricomi-Carlitz polynomials

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 (4)

Uniform Asymptotic Expansions for the Discrete Chebyshev Polynomials ⋮ Plancherel-Rotach asymptotic expansion for some polynomials from indeterminate moment problems ⋮ Asymptotic expansion of the Tricomi-Carlitz polynomials and their zeros ⋮ Asymptotics of the Wilson polynomials

Cites Work

• The zero distribution of the Tricomi-Carlitz polynomials
• Asymptotic expansions for second-order linear difference equations with a turning point
• Approximations of orthogonal polynomials in terms of Hermite polynomials
• Uniform asymptotic expansion of \(J_\nu(\nu a)\) via a difference equation
• A class of non-orthogonal polynomials related to those of Laguerre
• On the Asymptotics of the Tricomi–Carlitz Polynomials and Their Zero Distribution (I)
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Uniform asymptotic expansions of the Tricomi-Carlitz polynomials