Theoretical and Mathematical Physics

, Volume 162, Issue 3, pp 276–285 | Cite as

Commuting differential operators

Article

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 

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Copyright information

© MAIK/Nauka 2010

Authors and Affiliations

  1. 1.Landau Institute for Theoretical Physics, RASChernogolovka, Moscow OblastRussia
  2. 2.Aliev Karachaevo—Cherkesiya State UniversityKarachaevskRussia

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