Higher-order Bessel equations integrable in elementary functions

DOI10.1007/s10958-019-04431-6OpenAlexW2965323609MaRDI QIDQ2331344

Yulia Yurievna Bagderina

Publication date: 29 October 2019

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-019-04431-6

zbMATH Keywords

commuting operatorseigenfunctionEuler operator

Mathematics Subject Classification ID

General theory of ordinary differential operators (47E05) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30)

Cites Work

• Unnamed Item
• Two-sided Darboux transformations
• Integration of nonlinear equations by the methods of algebraic geometry
• Commutative linear differential operators
• Self-adjoint commuting differential operators of rank two
• Commuting ordinary differential operators of arbitrary genus and arbitrary rank with polynomial coefficients
• Commuting Ordinary Differential Operators with Polynomial Coefficients and Automorphisms of the First Weyl Algebra

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