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Chỉ số ISBN:	9789811226212
Ngôn ngữ:	Eng
Ký hiệu phân loại:	32ES
Tác giả:	Alain Escassut
Nhan đề:	P -adic analytic functions
Xuất bản, phát hành:	.-Hackensack NJ : World Scientific Publishing , 2021
Mô tả vật lý:	348
Từ Khóa:	Analytic Functions , P-adic

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  020	##	$a9789811226212
  041	##	$aEng
  084	##	$a32ES
  100	##	$aAlain Escassut
  110	##	$a
  245	##	$aP -adic analytic functions
  250	##	$a
  260	##	$aHackensack NJ :$bWorld Scientific Publishing,$c2021
  300	##	$a348
  500	##	$a
  505	##	$a
  520	##	$aP-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.
  653	##	$aAnalytic Functions
  653	##	$aP-adic
  900	##	1
  927	##	Sách, chuyên khảo, tuyển tập

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