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Lectures on Transcendental Numbers de K. Mahler

Lectures on Transcendental Numbers: Lecture Notes in Mathematics, cartea 546

Autor K. Mahler Editat de B. Divis, W.J. LeVeque
en Limba Engleză Paperback – oct 1976

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Specificații

ISBN-13: 9783540079866
ISBN-10: 3540079866
Pagini: 280
Ilustrații: XXI, 254 p.
Dimensiuni: 155 x 235 x 15 mm
Greutate: 0.4 kg
Ediția:1976
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seria Lecture Notes in Mathematics

Locul publicării:Berlin, Heidelberg, Germany

Public țintă

Research

Cuprins

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.