Complete systems of recursive integrals and Taylor series for solutions of Sturm-Liouville equations

DOI10.1002/mma.1596zbMath1243.34011arXiv1103.5233OpenAlexW3100018246MaRDI QIDQ2882447

Samy Morelos, Vladislav V. Kravchenko, Sébastien Tremblay

Publication date: 4 May 2012

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1103.5233

zbMATH Keywords

SturmLiouville problemcomplete system of functions

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Linear ordinary differential equations and systems (34A30) Completeness of sets of functions in one variable harmonic analysis (42A65)

Related Items (11)

On Sturm-Liouville equations with several spectral parameters ⋮ Analytic approximation of transmutation operators and related systems of functions ⋮ Wave polynomials, transmutations and Cauchy's problem for the Klein-Gordon equation ⋮ Professor Vladislav V. Kravchenko: a mathematician and a friend ⋮ Supersymmetric generalized power functions ⋮ Representation of solutions to the one-dimensional Schrödinger equation in terms of Neumann series of Bessel functions ⋮ A Neumann series of Bessel functions representation for solutions of Sturm-Liouville equations ⋮ Transmutations and Spectral Parameter Power Series in Eigenvalue Problems ⋮ Construction of a transmutation for the one-dimensional Schrödinger operator and a representation for solutions ⋮ Complete systems of Beltrami fields using complex quaternions and transmutation theory ⋮ Transmutations, \(L\)-bases and complete families of solutions of the stationary Schrödinger equation in the plane

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