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On effective estimate of the order of zero for a polynomial of functions satisfying a system of linear differential equations - MaRDI portal

On effective estimate of the order of zero for a polynomial of functions satisfying a system of linear differential equations (Q1175360)

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scientific article; zbMATH DE number 11483
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On effective estimate of the order of zero for a polynomial of functions satisfying a system of linear differential equations
scientific article; zbMATH DE number 11483

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    On effective estimate of the order of zero for a polynomial of functions satisfying a system of linear differential equations (English)
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    25 June 1992
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    An auxiliary result permitting to obtain efficient estimates of the algebraic independence of values of \(E\)-functions at algebraic points is proved [see \textit{A. B. Shidlovskij}, Transcendental numbers (Nauka 1987; Zbl 0629.10026), English translation (De Gruyter 1989; Zbl 0689.10043) for definitions ].
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    algebraic independence
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    values of \(E\)-functions
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