AlainEscassut
P-adic Analytic Functions
P-adic Analytic Functions
- Condition: Brand new
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- UK Shipping: Fee starts at £2.39. Subject to product weight & dimension
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Excellent- More about P-adic Analytic Functions
P-adic Analytic Functions is a book that explores the definition and properties of p-adic analytic and meromorphic functions in a complete algebraically closed ultrametric field. It examines the order and type of growth for analytic functions, studies p-adic meromorphic functions on the whole field, in open disks, and on the complemental of open disks, and explains the p-adic Nevanlinna theory with various applications. It also introduces small functions with results of uniqueness for meromorphic functions and examines whether the ring of analytic functions is a Bezout ring.
\n Format: Hardback
\n Length: 348 pages
\n Publication date: 25 March 2021
\n Publisher: World Scientific Publishing Co Pte Ltd
\n
P-adic Analytic Functions delves into the realm of defining and examining p-adic analytic and meromorphic functions within a meticulously crafted algebraically closed ultrametric field. This comprehensive text explores a wide range of properties associated with p-adic exponential polynomials, including the renowned Hermite-Lindemann theorem in a p-adic setting, presented with a fresh proof. It delves into the study of the order and type of growth for analytic functions across the entire field and within the confines of an open disk. Moreover, it investigates the fascinating world of p-adic meromorphic functions, examining their behavior not only in the entire field but also within the boundaries of an open disk and on the complemental of an open disk. The p-adic Nevanlinna theory is elucidated in great detail, showcasing its numerous applications. Additionally, the text introduces small functions and establishes the uniqueness of meromorphic functions for these functions. Furthermore, it examines the intriguing question of whether the ring of analytic functions, whether considered in the entirety of the field or within the confines of an open disk, possesses the properties of a Bezout ring. This intricate exploration of p-adic analytic functions offers a profound understanding of the mathematical intricacies involved in this specialized field.
\n Weight: 772g\n
Dimension: 176 x 252 x 29 (mm)\n
ISBN-13: 9789811226212\n \n
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