Orders of zeros of a polynomial on the trajectory of the solution of a system of linear differential equations with regular singular points. (Q556546)
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scientific article; zbMATH DE number 2177653
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Orders of zeros of a polynomial on the trajectory of the solution of a system of linear differential equations with regular singular points. |
scientific article; zbMATH DE number 2177653 |
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Orders of zeros of a polynomial on the trajectory of the solution of a system of linear differential equations with regular singular points. (English)
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21 June 2005
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The paper concerns a first-order system of \(p\) linear meromorphic differential equations defined on the Riemann sphere with regular singular points. The author obtains two upper bounds for the orders of zeros of polynomials considered on the trajectories of the solutions to the system.
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system of linear differential equations
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singular point
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Poincaré rank.
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