复时标上的Δ-解析函数

J4 ›› 2010, Vol. 48 ›› Issue (02): 189-192.

复时标上的Δ-解析函数

冯由玲^1,2

1. 吉林大学数学研究所, 长春 130012|2. 长春税务学院应用数学系, 长春 130117

收稿日期:2009-06-29 出版日期:2010-03-26 发布日期:2010-03-22
通讯作者: 冯由玲 E-mail:youling_feng@yahoo.com.cn

Analytic Functions on Products of Two Time Scales

FENG Youling^1,2

1. Institute of Mathematics, Jilin University, Changchun 130012, China;2. Department of Applied Mathematics, Changchun Taxation College, Changchun 130117, China

Received:2009-06-29 Online:2010-03-26 Published:2010-03-22
Contact: FENG Youling E-mail:youling_feng@yahoo.com.cn

摘要/Abstract

摘要：

利用Δ-解析的定义及实解析扩张定理, 研究复时标上复值函数Δ解析与经典解析的关系, 得到了两类复时标上Δ解析函数可局部开拓为经典解析函数的充要条件, 并讨论了单项式p_n(z)=zⁿ在复时标上的Δ解析性, 对n=3和n=4的情形得到了部分结果.

关键词: 时标； Δ-解析函数； Δ-解析开拓

Abstract:

Using the definition of the Δ-analytic functions and analytic continuation theorem for realvalued functions,
we derived the sufficient and necessary conditions for local Δ-analytic continuation in some cases. We also researched the Δ-analyticity for monomial p_n(z)=zⁿ and obtained the results for n=3 and n=4 in some cases.

Key words: time scale, Δ-analytic function, Δ-analytic continuation

中图分类号:

O174.5

冯由玲. 复时标上的Δ-解析函数[J]. J4, 2010, 48(02): 189-192.

FENG Yao-Ling. Analytic Functions on Products of Two Time Scales[J]. J4, 2010, 48(02): 189-192.