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Commuting differential operators

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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.

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Authors and Affiliations

  1. Landau Institute for Theoretical Physics, RAS, Chernogolovka, Moscow Oblast, Russia

    A. B. Shabat

  2. Aliev Karachaevo—Cherkesiya State University, Karachaevsk, Russia

    A. B. Shabat & Z. S. Elkanova

Authors
  1. A. B. Shabat
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  2. Z. S. Elkanova
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Corresponding author

Correspondence to A. B. Shabat.

Additional information

Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 162, No. 3, pp. 334–344, March, 2010.

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Shabat, A.B., Elkanova, Z.S. Commuting differential operators. Theor Math Phys 162, 276–285 (2010). https://doi.org/10.1007/s11232-010-0022-6

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  • DOI: https://doi.org/10.1007/s11232-010-0022-6

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