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P-adic analytic functions /

Escassut, Alain,

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P-adic analytic functions /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	P-adic analytic functions // Alain Escassut.
其他題名:	P adic analytic functions
作者:	Escassut, Alain,
出版者:	New Jersey :World Scientific, : c2021.,
面頁冊數:	viii, 340 p. ;26 cm.
內容註:	Ultrametric fields -- Analytic elements and analytic functions --Meromorphic functions and Nevanlinna theory.
標題:	Analytic functions. -
ISBN:	9789811226212

P-adic analytic functions /
Escassut, Alain,

P-adic analytic functions /P adic analytic functionsAlain Escassut. - New Jersey :World Scientific,c2021. - viii, 340 p. ;26 cm.

Includes bibliographical references and index.

Ultrametric fields -- Analytic elements and analytic functions --Meromorphic functions and Nevanlinna theory.

"P-adic Analytic Functions describes the definition and properties ofp-adic analytic and meromorphic functions in a complete algebraically closedultrametric field. Various properties of p-adic exponential-polynomials areexamined, such as the Hermite Lindemann theorem in a p-adic field, with anew 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 arestudied, not only on the whole field but also in an open disk and on thecomplemental of a closed 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 meromorphicfunctions. The question of whether the ring of analytic functions - in thewhole field or inside an open disk - is a Bezout ring is also examined"--

ISBN: 9789811226212US128

LCCN: 2020046177Subjects--Topical Terms:

523876
Analytic functions.

LC Class. No.: QA241 / .E835 2021

Dewey Class. No.: 512.7/4

P-adic analytic functions /
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020 $a 9789811226212 $q (hbk.) : $c US128
020 $z 9789811226229 $q (ebook for institutions)
020 $z 9789811226236 $q (ebook for individuals)
040 $a LBSOR/DLC $b eng $c DLC
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050 0 0 $a QA241 $b .E835 2021
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100 1 $a Escassut, Alain, $e author. $3 3565455
245 1 0 $a P-adic analytic functions / $c Alain Escassut.
246 3 # $a P adic analytic functions
246 3 # $a Padic analytic functions
260 # $a New Jersey : $b World Scientific, $c c2021.
300 $a viii, 340 p. ; $c 26 cm.
504 $a Includes bibliographical references and index.
505 0 # $a Ultrametric fields -- Analytic elements and analytic functions --Meromorphic functions and Nevanlinna theory.
520 # $a "P-adic Analytic Functions describes the definition and properties ofp-adic analytic and meromorphic functions in a complete algebraically closedultrametric field. Various properties of p-adic exponential-polynomials areexamined, such as the Hermite Lindemann theorem in a p-adic field, with anew 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 arestudied, not only on the whole field but also in an open disk and on thecomplemental of a closed 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 meromorphicfunctions. The question of whether the ring of analytic functions - in thewhole field or inside an open disk - is a Bezout ring is also examined"-- $c Provided by publisher.
650 # 0 $a Analytic functions. $3 523876
650 # 0 $a Nevanlinna theory. $3 711035
650 # 0 $a p-adic analysis. $3 628821