Analysis in Positive Characteristic 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024

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Kochubei, Anatoly N. 作者

譯者

2009-3 出版日期

220 頁數

$ 100.57 價格

叢書系列

9780521509770 圖書編碼

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發表於2024-11-29

Analysis in Positive Characteristic 在線電子書 epub 下載 mobi 下載 pdf 下載 txt 下載 2024

Analysis in Positive Characteristic 在線電子書 epub 下載 pdf 下載 mobi 下載 txt 下載 2024

Analysis in Positive Characteristic 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024

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Analysis in Positive Characteristic 在線電子書 pdf 下載 txt下載 epub 下載 mobi 在線電子書下載

Analysis in Positive Characteristic 在線電子書圖書描述

Devoted to counterparts of classical structures of mathematical analysis in analysis over local fields of positive characteristic, this book treats positive characteristic phenomena from an analytic viewpoint. Building on the basic objects introduced by L. Carlitz - such as the Carlitz factorials, exponential and logarithm, and the orthonormal system of Carlitz polynomials - the author develops a kind of differential and integral calculi. He also expands on the basics of an analytic theory of (Carlitz's) differential equations, providing a useful foundation for the study of various special functions. The differential calculus is extended to a type of Rota's umbral calculus, and an investigation is made of the corresponding rings of differential operators. A theory of quasi-holonomic modules over these rings, having some common features with holonomic modules in the sense of Bernstein, is also connected to some special functions in the spirit of Zeilberger's theory.

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