P adic Analytic Functions is popular PDF and ePub book, written by Alain Escassut in 2021-03-17, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, P adic Analytic Functions can be Read Online from any device for your convenience.
P adic Analytic Functions Book PDF Summary
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.
Detail Book of P adic Analytic Functions PDF
- Author : Alain Escassut
- Release : 17 March 2021
- Publisher : World Scientific
- ISBN : 9789811226236
- Genre : Mathematics
- Total Page : 349 pages
- Language : English
- PDF File Size : 11,7 Mb
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