On the asymptotic expansions of solutions of an nth order linear differential equation

DOI10.1017/S0308210500011690zbMath0429.34010OpenAlexW2325618589WikidataQ115335920 ScholiaQ115335920MaRDI QIDQ3866419

Richard B. Paris

Publication date: 1980

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500011690

zbMATH Keywords

Mellin-Barnes integralsasymptotic expansions of solutionsnth order linear differential equation

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Ordinary differential equations in the complex domain (34M99) Asymptotic expansions of solutions to ordinary differential equations (34E05)

Related Items (4)

Asymptotic Solution of a Differential System Related to the Generalized Hypergeometric Equation ⋮ Results old and new on the hyper-Bessel equation ⋮ On the central connection problem for equations with an irregular singular point of a single level ⋮ On the L² nature of solutions of nth order symmetric differential equations and McLeod's conjecture

Cites Work

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• Deficiency Indices of Some Fourth Order Differential Operators
• The Asymptotic Expansion of the Generalized Hypergeometric Function
• On the Character of Certain Entire Functions in Distant Portions of the Plane
• The asymptotic expansion of integral functions defined by Taylor series
• Linear Differential Equations with Two‐term Recurrence Formulas
• On the asymptotic expansions of entire functions defined by Maclaurin series

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