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<p>A formula for the trace of the monodromy matrix of a singular point of a linear system of first-order ordinary differential equations of pole type or of an algebraic branch point is obtained in the form of an absolutely convergent series.As an example, the general formula is specified for a system of&#xa0;equations of a special form.</p>

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Trace of the Monodromy Matrix of an Irregular Singular Point of a Linear System of First-Order Ordinary Differential Equations

  • 期刊论文

  • 发表日期：

    2026年1月29日

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  • A. A. Golubkov

摘要

A formula for the trace of the monodromy matrix of a singular point of a linear system of first-order ordinary differential equations of pole type or of an algebraic branch point is obtained in the form of an absolutely convergent series.As an example, the general formula is specified for a system of equations of a special form.