Zur Theorie der Neumannschen und Kapteynschen Reihen

DOI10.1007/BF01224943zbMath0441.33013OpenAlexW67061118MaRDI QIDQ1142910

Friedrich Wilhelm Schaefke

Publication date: 1980

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01224943

zbMATH Keywords

Neumann seriesKapteyn seriesBessel and Whittaker functionsHill differential equationseries expansions of eigenfunctionsseries expansions of Whittaker functionsWhittaker differential equation

Mathematics Subject Classification ID

General harmonic expansions, frames (42C15) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Ordinary differential equations in the complex domain (34M99)

Related Items (4)

Expansions in series of products of eigenfunctions ⋮ Expansion of Analytic Functions in Series of Floquet Solutions of First Order Differential Systems ⋮ Expansions in series of suitable systems of functions ⋮ Expansions of analytic functions in products of Bessel functions

Cites Work

• Reihenentwicklung analytischer Funktionen nach Biorthogonalsystemen spezieller Funktionen. I, II
• Mathieu functions and spheroidal functions and their mathematical foundations. Further studies
• Eine Verallgemeinerung der Kapteynschen Reihen

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