Asymptotics and algebraicity of some generating functions (Q1106218)

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scientific article; zbMATH DE number 4061246
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Asymptotics and algebraicity of some generating functions
scientific article; zbMATH DE number 4061246

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    Asymptotics and algebraicity of some generating functions (English)
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    1987
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    Some generating functions \(\sum_{n\geq 0}f(n)x^ n\), arising in combinatorics and algebra, are shown to be nonalgebraic by calculating the asymptotics of f(n). Some other such generating functions are shown to be algebraic by an application of determinantal varieties and G- invariant ideals.
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    algebraic generating functions
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    nonalgebraic generating functions
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