摘要
研究k 正则函数u(z) (k阶方程 k zku =0的解 ) .讨论了k 正则函数的若干函数论性质和获得了非齐次k阶方程 k zku =f的积分形式的特解 ,证明了以上两类函数及k调和函数的Dirichlet边值问题的解是存在唯一的 .
In this paper, k-regular function (the solution of the k order equation kku=0) is studied. It is proved that the k-regular function can be uniquely represented by analytic functions, some function theoretic properties of the k-regular function and the integral representation of the solution of the inhomogeneous equation kku=f are obtained. Moreover, it is also proved that solutions of the Dirichlet boundary value problems for above two classes of functions and the k-harmonic function uniquely exist.
出处
《四川师范大学学报（自然科学版）》
CAS
CSCD
2001年第1期5-8,共4页
Journal of Sichuan Normal University（Natural Science）
