The distributional solutions of Kummer's differential equation

DOI10.1016/j.jmaa.2022.126587OpenAlexW4292399532WikidataQ115345805 ScholiaQ115345805MaRDI QIDQ2674324

Peter Wagner, Norbert Ortner and Peter Wagner

Publication date: 23 September 2022

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2022.126587

zbMATH Keywords

confluent hypergeometric functiondistributional solutionsKummer's differential equation

Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15)

Cites Work

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• Systèmes différentiels du type de Fuchs en théorie des distributions
• Distributional solutions of the hypergeometric differential equation
• Ultra-distributions definies sur \(R^ n\) et sur certaines classes de variétés différentiables
• Sulle funzioni ipergeometriche confluenti
• Fundamental Solutions of Linear Partial Differential Operators

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