Isomonodromic deformation with an irregular singularity and the Theta function

Details Isomonodromic deformation with an irregular singularity and the Theta function Isomonodromic deformation with an irregular singularity and the Theta function

2007-01-15

arxiv.org/abs/math/0701403v1

J. Phys. A 40 (2007), no. 39, 11939-11960

Mathematics

Classical Analysis and ODEs

30 pages

Scientific paper

10.1088/1751-8113/40/39/015

We will study a monodromy preserving deformation with an irregular singular
point and determine the $\tau$ function of the monodromy preserving deformation
by the elliptic $\theta$ function moving the argument $z$ and the period
$\Omega$.

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