Uniform Asymptotic Expansions for the Reverse Generalized Bessel Polynomials, and Related Functions

DOI10.1137/S0036141099359068zbMath0983.33005MaRDI QIDQ2706221

T. M. Dunster

Publication date: 19 March 2001

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

zbMATH Keywords

Bessel polynomialsuniform asymptotic expansionsturning point problemsLiouville-Green expansions

Mathematics Subject Classification ID

Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15)

Related Items (max. 100)

Large parameter cases of the Gauss hypergeometric function ⋮ Large degree asymptotics of generalized Bessel polynomials ⋮ On the special values of monic polynomials of hypergeometric type ⋮ Global asymptotics for Laguerre polynomials with large negative parameter -- a Riemann-Hilbert approach ⋮ Reverse generalized Bessel matrix differential equation, polynomial solutions, and their properties ⋮ Riemann-Hilbert analysis for Laguerre polynomials with large negative parameter.

This page was built for publication: Uniform Asymptotic Expansions for the Reverse Generalized Bessel Polynomials, and Related Functions