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Möbius transform for linear ordinary differential equations. (Russian, English) Zbl 1130.34063

J. Math. Sci., New York 132, No. 1, 37-47 (2006); translation from Zap. Nauchn. Semin. POMI 308, 67-88, 253 (2004).
Summary: The Möbius transforms for linear ordinary differential equations of the second order are examined. It is shown that this transform has some quasi-isospectral properties. Solutions of the Heun equation with one apparent singularity are constructed.

MSC:

34M35 Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms
34A30 Linear ordinary differential equations and systems
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References:

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