摘要
研究了双解析函数的性质，给出了双解析函数Cauchy定理、Morera定理和透弧延拓定理．研究了Cauchy－Fredholm型积分，给出了该型积分边界值的Plemelj公式．利用透弧延拓定理和Cauchy-Fredholm型积分的Plemelj公式，讨论了双解析函数Hilbert边值问题，给出了可解性定理．
The properties 0f bianalytic functions are considered, the theorem of Cauchy, the theoretn of Morera and the extension theorem of bianalytic functions are obtained. The Cauchy-Fredholm form integrals are investigated and its boundary value formula of Plemelj are obtained. The Hilbert boundary value problem for bianalytic functions is discused and the theorem of its solvability is aIso obtained.
出处
《北京师范大学学报（自然科学版）》
CAS
CSCD
北大核心
1998年第1期13-20,共8页
Journal of Beijing Normal University(Natural Science)
基金
国家自然科学基金!19571010
关键词
双解析函数
柯西定理
C-F型积分
边值问题
bianalytic functions, theorem of Cauchy, formula of Plemelj, Cauchy-Fredholm form integral, Hilbert problem, theorem of solvability
