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arXiv · 1309.7592

On the reducibility of Schlesinger isomonodromic families

R. R. Gontsov·V. P. Leksin
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Abstract

We obtain some sufficient conditions for reducibility of a Schlesinger isomonodromic family with the (block) upper-triangular monodromy to the same (block) upper-triangular form via a constant gauge transformation. We also obtain integral representations of hypergeometric type for entries of upper-triangular solutions of the Schlesinger equation.

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R. R. Gontsov, V. P. Leksin. 2013-09-29. On the reducibility of Schlesinger isomonodromic families. https://arxiv.org/abs/1309.7592

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