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Book 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.

Book details

Book category Books in German Naturwissenschaften, Medizin, Informatik, Technik Mathematik Geometrie

• Full title: P-adic Analytic Functions
• Author: Alain Escassut
• Language: English
• Binding: Hardback
• Number of pages: 348
• EAN: 9789811226212
• ISBN: 9811226210
• ID: 33213239
• Publisher: World Scientific Publishing Co Pte Ltd
• Weight: 772 g
• Dimensions: 176 × 252 × 29 mm
• Date of publishing: 08. April 2021

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