Lectures on transcendental numbers
著者
書誌事項
Lectures on transcendental numbers
（Lecture notes in mathematics, 546）
Springer-Verlag, 1976
- : Berlin
- : New York
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注記
Bibliography: p. [249]-254
内容説明・目次
目次
Existence and first properties of transcendental numbers.- Convergent laurent series and formal laurent series.- First results on the values of analytic functions at algebraic points.- Linear differental equations: The lemmas of Shidlovski.- Linear differential equations: A lower bound for the rank of the values of finitely many siegel E-functions at algebraic points.- Linear differential equations: Shidlovski's theorems on the transcendency and algebraic independence of values of siegel E-functions.- Applications of Shidlovski's main theorems to special functions.- Formal power series as solutions of algebraic differential equations.
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