论文摘要
本文利用复分析的方法讨论了复平面上的k-正则函数的某些边值问题.在第一章中给出了k正则函数的一类Riemann边值问题及非齐次k阶方程akw/azk=f的Riemann边值问题的提法,讨论了该边值问题的可解条件和解的表示.使用类似于[7]的方法,通过将k-函数的Riemann边值问题转化为解析函数的Riemann边值问题,并利用文[7]的结论得出其相关的可解条件和解的表达式.在第二章中给出了无穷直线上含参变未知函数的k-正则函数的Riemann边值问题的提法,讨论了该边值问题的可解条件和解的表示.
论文目录
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