商丘师范学院学报
商丘師範學院學報
상구사범학원학보
JOURNAL OF SHANGQIU TEACHERS COLLEGE
2013年
6期
18-21
,共4页
共轭解析函数%解析函数%矢量值函数%充要条件
共軛解析函數%解析函數%矢量值函數%充要條件
공액해석함수%해석함수%시량치함수%충요조건
conjugate analytic function%analytic function%vector -valued function%necessary and sufficient condition
根据复值共轭解析函数的概念,给出了一种与矢量值解析函数对称的矢量值共轭解析函数,首先证明了矢量值函数的弱共轭解析等价于强共轭解析,然后,利用这种等价性,分别从矢量值函数的共轭积分和共轭幂级数展式两个不同方面讨论了矢量值函数共轭解析的充要条件.
根據複值共軛解析函數的概唸,給齣瞭一種與矢量值解析函數對稱的矢量值共軛解析函數,首先證明瞭矢量值函數的弱共軛解析等價于彊共軛解析,然後,利用這種等價性,分彆從矢量值函數的共軛積分和共軛冪級數展式兩箇不同方麵討論瞭矢量值函數共軛解析的充要條件.
근거복치공액해석함수적개념,급출료일충여시량치해석함수대칭적시량치공액해석함수,수선증명료시량치함수적약공액해석등개우강공액해석,연후,이용저충등개성,분별종시량치함수적공액적분화공액멱급수전식량개불동방면토론료시량치함수공액해석적충요조건.
@@@@Based on the concept of complex conjugate analytic function , this paper presents a sot of vector -valued conjugate analytic function which is symmetric with vector -valued analytic function.First the author proves that the weak conjugate analyze of vector -valued function is equivalent to the strong conjugate analyze , and then respectively discusses in the necessary and sufficient conditions of conjugate analyze of vector -valued function from two different aspects, which are conjugate integration and conjugate power series .
