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Matematicheskie Zametki, 2006, Volume 79, Issue 2, Pages 267–277
DOI: https://doi.org/10.4213/mzm2694 (Mi mzm2694) 		 
This article is cited in 4 scientific papers (total in 4 papers)

The Heun Equation and the Darboux Transformation

Yu. N. Sirotaa, A. O. Smirnovb

a Herzen State Pedagogical University of Russia
b Saint-Petersburg State University of Aerospace Instrumentation
Full-text PDF (241 kB) Citations (4)
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DOI: https://doi.org/10.4213/mzm2694
Abstract: In this paper, we study the Darboux transformation of the Darboux–Treibich–Verdier equation. On the basis of this transformation, we construct a generalization of the Darboux transformation to the case of the Heun equation and to other linear ordinary differential equations of second order. Examples are given.
Received: 08.07.2004
English version:
Mathematical Notes, 2006, Volume 79, Issue 2, Pages 244–253
DOI: https://doi.org/10.1007/s11006-006-0027-5
Bibliographic databases:
UDC: 517.912+517.923
Language: Russian
Citation: Yu. N. Sirota, A. O. Smirnov, “The Heun Equation and the Darboux Transformation”, Mat. Zametki, 79:2 (2006), 267–277; Math. Notes, 79:2 (2006), 244–253
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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