P-adic Analytic Functions by Alain Escassut

P-adic Analytic Functions by Alain Escassut

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.

SKU	Nicht verfügbar
ISBN 13	9789811226212
ISBN 10	9811226210
Titel	P-adic Analytic Functions
Autor	Alain Escassut
Buchzustand	Nicht verfügbar
Verlag	World Scientific Publishing Co Pte Ltd
Erscheinungsjahr	2021-04-08
Seitenanzahl	348
Hinweis auf dem Einband	Die Abbildung des Buches dient nur Illustrationszwecken, die tatsächliche Bindung, das Cover und die Auflage können sich davon unterscheiden.
Hinweis	Nicht verfügbar