On the asymptotics of the Taylor coefficients of a rational function of two variables (Q1901925)
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scientific article; zbMATH DE number 815656
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the asymptotics of the Taylor coefficients of a rational function of two variables |
scientific article; zbMATH DE number 815656 |
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On the asymptotics of the Taylor coefficients of a rational function of two variables (English)
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3 January 1996
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Let \(G(z_1, z_2) = \sum^\infty_{k_1,k_2 = 0} g(k_1, k_2) z^{k_1} z_2^{k_2}\) be a rational function of two complex variables which is holomorphic at the origin. The author obtains (Theorem 2) the asymptotic formulae for Taylor coefficients of the function \(d(t) = \sum^\infty_{k = 0} g(k,k)t^k\).
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rational function
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Taylor coefficient
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