Expansions in series of products of eigenfunctions

DOI10.1007/BF03322216zbMath0848.34067OpenAlexW2073380721MaRDI QIDQ1911992

J. Saurer

Publication date: 24 October 1996

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03322216

zbMATH Keywords

eigenvalue problemspecial functionsBessel functionseigenfunction expansionsFloquet conditionfirst order system of differential equationsWhittacker functions

Mathematics Subject Classification ID

Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Ordinary differential equations in the complex domain (34M99) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15)

Cites Work

• Expansions of analytic functions in products of Bessel functions
• Reihenentwicklung analytischer Funktionen nach Biorthogonalsystemen spezieller Funktionen. I, II
• Zur Theorie der Neumannschen und Kapteynschen Reihen
• The inverse of certain formulas involving Bessel functions
• Biorthogonalentwicklungen analytischer Funktionen nach Produkten spezieller Funktionen. I
• Biorthogonalentwicklungen analytischer Funktionen nach Produkten spezieller Funktionen. II
• Expansion of Analytic Functions in Series of Floquet Solutions of First Order Differential Systems
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