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P-Adic Analytic Functions

by Escassut Alain

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Book Overview P-adic Analytic Functions describes the definition and properties of p-adic analytic and meromorphic functions in a complete algebraicall...

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 Format: Hardcover | Pages: 350 | Language: English | Publisher: WORLD SCIENTIFIC PUB CO INC | ISBN: 9811226210
FormatHardcover
Pages350
LanguageEnglish
ISBN9811226210
EAN9789811226212
PublisherWORLD SCIENTIFIC PUB CO INC
Publication Date1970-01-01
AccessoriesNo Accessory
ConditionNew
Product TypeHARD COVER BOOKS
Weight1.67 Pounds
Length9.61 Inches
Width6.69 Inches
Height0.81 Inches
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