Subnormal solutions of non-homogeneous periodic ODEs, special functions and related polynomials

DOI10.1515/CRELLE.2011.011zbMath1228.34142arXiv0906.4659MaRDI QIDQ3081165

Yik-Man Chiang, Kit-Wing Yu

Publication date: 11 March 2011

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0906.4659

zbMATH Keywords

Gegenbauer polynomialsBessel functionsStruve functionsLommel functionsLommel transformsNeumann polynomials

Mathematics Subject Classification ID

Explicit solutions, first integrals of ordinary differential equations (34A05) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Linear ordinary differential equations and systems in the complex domain (34M03)

Related Items (3)

Unnamed Item ⋮ Meromorphic solutions of higher order delay differential equations ⋮ Bounds for modified Lommel functions of the first kind and their ratios

Cites Work

• Unnamed Item
• Asymptotic expansions and converging factors I. General theory and basic converging factors
• Asymptotic expansions and converging factors IV. Confluent hypergeometric, parabolic cylinder, modified Bessel, and ordinary Bessel functions
• Asymptotic solution of a linear nonhomogeneous second order differential equation with a transition point and its application to the computations of toroidal shells and propeller blades
• The Sign of Lommel's Function
• Stabilizing the Benjamin–Feir instability
• Lommel functions with imaginary argument
• Fast calculations of dyadic Green's functions for electromagnetic scattering in a multilayered medium.

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