Large degree asymptotics of generalized Bessel polynomials

DOI10.1016/J.JMAA.2010.10.030zbMath1213.33011arXiv1101.4894OpenAlexW1973450774MaRDI QIDQ626136

José Luis López, Nico M. Temme

Publication date: 22 February 2011

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

Full work available at URL: https://arxiv.org/abs/1101.4894

zbMATH Keywords

modified Bessel functionsasymptotic expansionsLaguerre polynomialsBessel polynomialsKummer functions

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Related Items (2)

Approximate closed-form formulas for the zeros of the Bessel polynomials ⋮ Reverse generalized Bessel matrix differential equation, polynomial solutions, and their properties

Uses Software

• DLMF

Cites Work

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• Uniform asymptotics for the incomplete gamma functions starting from negative values of the parameters
• Bessel polynomials
• Asymptotic expansions of the generalized Bessel polynomials
• Symbolic evaluation of coefficients in Airy-type asymptotic expansions
• Uniform Asymptotic Expansions for the Reverse Generalized Bessel Polynomials, and Related Functions
• Two‐Point Taylor Expansions of Analytic Functions
• Hyperasymptotic expansions of confluent hypergeometric functions
• Multi-point Taylor expansions of analytic functions
• A New Class of Orthogonal Polynomials: The Bessel Polynomials

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