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- Title
Higher-Order Bessel Equations Integrable in Elementary Functions.
- Authors
Bagderina, Yu. Yu.
- Abstract
The eigenfunction problem for a scalar Euler operator leads to an ordinary differential equation, which is an analog of higher-order Bessel equations. Its solutions are expressed through elementary functions in the case where the corresponding Euler operator can be factorized in a certain appropriate way. We obtain a formula describing such solutions. We consider the problem on common eigenfunctions of two Euler operators and present commuting Euler operators of orders 4, 6, and 10 and a formula for their common eigenfunction and also commuting operators of orders 6 and 9.
- Subjects
INTEGRABLE functions; ORDINARY differential equations; EQUATIONS; EIGENFUNCTIONS
- Publication
Journal of Mathematical Sciences, 2019, Vol 241, Issue 4, p379
- ISSN
1072-3374
- Publication type
Article
- DOI
10.1007/s10958-019-04431-6