Asymptotic expansions of the coefficients in asymptotic series solutions of linear differential equations (Q1902343)
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scientific article; zbMATH DE number 818480
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Asymptotic expansions of the coefficients in asymptotic series solutions of linear differential equations |
scientific article; zbMATH DE number 818480 |
Statements
Asymptotic expansions of the coefficients in asymptotic series solutions of linear differential equations (English)
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30 May 1996
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A second-order linear equation is considered. It is supposed that in the neighborhood of an irregular singularity of rank one this equation has a well-known solution in the form of a special series. It is proved that asymptotically the coefficients of these series an be expanded in an asymptotic series of inverse factorials with explicit coefficients.
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second-order linear equation
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irregular singularity of rank one
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asymptotic series
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