关于双解析函数几个命题的一些注记  

Some Notes on the Theories of Bianalytic Functions

作　　者：王飞[1] 周玲[1] 

机构地区：[1]新疆农业大学数理学院,新疆乌鲁木齐830052

出　　处：《数学的实践与认识》2011年第11期222-226,共5页Mathematics in Practice and Theory

摘　　要：给出的双解析函数的高阶导数公式及其简单的证明.其次,建立了双解析函数的Cauchy不等式.最后,运用解析函数的奇点性质证明了双解析函数的拟Liouville定理.In this paper, we discuss the higher dirivative of bianalytic functions and the simplified proof about it. Secondly, Cauchy inequality of bianalytic functions is proved. Finally, using the properties of the singular points of analytic functions, we prove the quasi-Liouville theorem of bianalytic functions. The higher derivative of bianalytic functions given in [2] is corrected and a simplified proof is given

关 键 词：双解析函数 高阶导数 CAUCHY不等式 拟Liouville定理 

分 类 号：O175.8[理学—数学]