Articles liés à P-Adic Analytic Functions

P-Adic Analytic Functions - Couverture rigide

Escassut, Alain

 
9789811226212: P-Adic Analytic Functions
Couverture rigide
ISBN 10 : 9811226210 ISBN 13 : 9789811226212
Editeur : World Scientific Publishing Co Pte Ltd, 2021

Synopsis

P-adic Analytic Functions describes the definition and properties of p-adic analytic and meromorphic functions in a complete algebraically closed ultrametric field.

Various properties of p-adic exponential-polynomials are examined, such as the Hermite-Lindemann theorem in a p-adic field, with a new proof. The order and type of growth for analytic functions are studied, in the whole field and inside an open disk. P-adic meromorphic functions are studied, not only on the whole field but also in an open disk and on the complemental of an open disk, using Motzkin meromorphic products. Finally, the p-adic Nevanlinna theory is widely explained, with various applications. Small functions are introduced with results of uniqueness for meromorphic functions. The question of whether the ring of analytic functions—in the whole field or inside an open disk—is a Bezout ring is also examined.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Éditeur
World Scientific Publishing Co Pte Ltd
Date d'édition
2021
Langue
anglais
ISBN 10 
9811226210
ISBN 13 
9789811226212
Reliure
Relié
Nombre de pages
350
Coordonnées du fabricant
non disponible
Personne responsable
gpsr@libri.de
gpsr@libri.de

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