This article is cited in 7 papers

Commuting differential operators

A. B. Shabat^ab, Z. S. El'kanova<sup>b

a</sup> Landau Institute for Theoretical Physics, RAS, Chernogolovka, Moscow Oblast, Russia
^b Aliev Karachaevo-Cherkesiya State University, Karachaevsk, Russia

Abstract: We consider a model problem, related to Bessel functions, in the theory of commutative rings of linear differential operators with one independent variable. We construct new series of such commutative rings and give simple examples of rings with three generators.

Keywords: Bessel function, commuting ring of differential operators.

Received: 07.09.2009

DOI: 10.4213/tmf6474

 English version: Theoretical and Mathematical Physics, 2010, 162:3, 276–285

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