This article is cited in 6 papers

Symmetries and apparent singularities for the simplest Fuchsian equations

S. Yu. Slavyanov

St. Petersburg State University, St. Petersburg, Russia

Abstract: We consider the simplest Fuchsian second-order equations with particular attention to the role of apparent singularities. We show the relation to the Painlevé equation and follow the matrix formulation of the problem.

Keywords: hypergeometric equation, Heun equation, deformed Heun equation, antiquantization, Painlevé equation.

Received: 14.04.2017

DOI: 10.4213/tmf9382

 English version: Theoretical and Mathematical Physics, 2017, 193:3, 1754–1760

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