On algebroid solutions of linear differential equations with algebroid coefficients (Q843685)
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scientific article; zbMATH DE number 5659357
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On algebroid solutions of linear differential equations with algebroid coefficients |
scientific article; zbMATH DE number 5659357 |
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On algebroid solutions of linear differential equations with algebroid coefficients (English)
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15 January 2010
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The paper extends known results on the growth of entire solutions of linear differential equations with polynomial coefficients to linear equations with algebroid coefficients. The authors shows a relation between the finiteness of growth of the solutions and the coefficients bounded above by \(\log r\). More precise estimates of the growth are obtained when the coefficients are small to \(\log r\).
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linear differential equations
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algebroid solutions
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