摘要
主要讨论了四元数空间中正则函数与非齐次n阶方程(■~n F)/(■z^n)=f在超球上的Dirichlet问题和双圆柱上具有任意整数指标的Riemann-Hilbert问题,给出了可解条件和解的积分表示式.
Abstract： In this paper,by using methods from analysis ,We investigate the Dirichlet bound-ary value problems on the ball and Riemann-.Hilbert boundary value problems with any inte-ger index on the bicylinder for the regular functions and inhomogeneous nth order equation α^nF/αz^n=f in Quaternionic analysis. The solvable conditions and the integral expressions of the general solution are given.
出处
《数学的实践与认识》
CSCD
北大核心
2012年第5期155-163,共9页
Mathematics in Practice and Theory
