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Value Distribution in P-Adic Analysis

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AuthorEscassut Alain
ISBN9789814730105
Published LanguageEnglish
Publication Year2015
PublisherWorld Scientific
BindingHardback
Original Price$190
Pages560
Ships By2-3 days

Description

The book first explains the main properties of analytic functions in order to use them in the study of various problems in p-adic value distribution. Certain properties of p-adic transcendental numbers are examined such as order and type of transcendence, with problems on p-adic exponentials. Lazard’s problem for analytic functions inside a disk is explained. P-adic meromorphics are studied. Sets of range uniqueness in a p-adic field are examined. The ultrametric Corona problem is studied. Injective analytic elements are characterized. The p-adic Nevanlinna theory is described and many applications are given: p-adic Hayman conjecture, Picard’s values for derivatives, small functions, branched values, growth of entire functions, problems of uniqueness, URSCM and URSIM, functions of uniqueness, sharing value problems, Nevanlinna theory in characteristic p>0, p-adic Yosida’s equation.

About the author
Univ Blaise Pascal, France

Additional information

Weight1.088 kg
Dimensions24.8 × 16.5 cm
Author

ISBN

Publisher

Pages

560

Ships By

2-3 days