Lectures on transcendental numbers
Author(s)
Bibliographic Information
Lectures on transcendental numbers
(Lecture notes in mathematics, 546)
Springer-Verlag, 1976
- : Berlin
- : New York
Available at / 63 libraries
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science研究室
: Berlin510/L4972020933391
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Note
Bibliography: p. [249]-254
Description and Table of Contents
Table of Contents
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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