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arXiv 0810.3112math.CAmath-phmath.MPnlin.SI
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中间卷积与Heun方程

Middle Convolution and Heun's Equation

Kouichi Takemura

摘要:

Heun方程自然出现的特殊情况下Fuchsian系统的微分方程秩二与四个奇点通过引入空间的初始条件的第六Painlevé方程。Fuchsian系统的中卷积与Heun方程的积分变换有关。

英文摘要:

Heun's equation naturally appears as special cases of Fuchsian system of differential equations of rank two with four singularities by introducing the space of initial conditions of the sixth Painlevé equation. Middle convolutions of the Fuchsian system are related with an integral transformation of Heun's equation.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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