k解析函数的一般复合边值问题  

General compound boundary value problem of k-analytic functions

作　　者：汤获[1,2] 杨静宇[2,3] 邓冠铁[1] 

机构地区：[1]北京师范大学数学科学学院,北京100875 [2]赤峰学院数学与统计学院,内蒙古赤峰024000 [3]大连理工大学数学科学学院,辽宁大连116024

出　　处：《兰州理工大学学报》2012年第4期158-161,共4页Journal of Lanzhou University of Technology

基　　金：国家自然科学基金(11071020);高校博士点基金(20100003110004);内蒙古自然科学基金(2010MS0117);内蒙古高等学校科研基金(NJzc08160)

摘　　要：研究开口弧段Γ上k解析函数的Riemann边值问题与封闭的Liapunov曲线L上k解析函数的Hilbert边值问题复合而成的一般复合边值问题,利用消去法将问题转化为Hilbert边值问题加以求解,并给出可解性条件和解的具体表达式.The general compound boundary value problem which was compounded by the Riemann bound- ary value problem on an open arc-segment F and Hilbert boundary value problem on closed Liapunov curve L was studied. By using the method of elimination, the compound boundary value problem was trans- formed into the Hilbert boundary value problem and then solved. The conditions of its solvability and concrete expression of its solution were also given out.

关 键 词：k解析函数 开口弧段 RIEMANN边值问题 HILBERT边值问题 复合边值问题 

分 类 号：O175.8[理学—数学]