Lectures on Transcendental Numbers [electronic resource] / by Kurt Mahler ; edited by B. Diviš, W. J. Le Veque.
Material type: TextSeries: Lecture Notes in Mathematics ; 546Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1976Description: XXI, 254 p. online resourceContent type:- text
- computer
- online resource
- 9783540379812
- 512.7 23
- QA241-247.5
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.
There are no comments on this title.