Differential equations defined by (convergent) Laurent series

DOI10.1142/S0219498823500871OpenAlexW4200378200WikidataQ115441171 ScholiaQ115441171MaRDI QIDQ5882587

Vakhtang Lomadze

Publication date: 17 March 2023

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498823500871

zbMATH Keywords

linear differential equationsBorel transformBessel functionsconvergent Laurent series

Mathematics Subject Classification ID

Algebraic field extensions (12F05) Implicit ordinary differential equations, differential-algebraic equations (34A09) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Cites Work

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• Rational differential operators and their kernels
• Distributions: The evolution of a mathematical theory
• An easy approach to distributions and operational calculus

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