Let R0,n be the real Clifford algebra generated by e1, e2,... , en satisfying eiej＋ejei=-2δij,i,j=1,2…,ne0 is the unit element.Let Ω be an open set. A function f is called left generalized analytic in ft if f sati...Let R0,n be the real Clifford algebra generated by e1, e2,... , en satisfying eiej＋ejei=-2δij,i,j=1,2…,ne0 is the unit element.Let Ω be an open set. A function f is called left generalized analytic in ft if f satisfies the equation Lf=0,where ……qi 〉0, i =-, 1, - ……, n. In this article, we first give the kernel function for the generalized analytic function. Further, the Hilbert boundary value problem for generalized analytic functions in Rn＋1 will be investigated.展开更多
In the present paper, we study the polynomial approximation of analytic functions of several complex variables. The characterizations of generalized type of analytic functions of several complex variables have been ob...In the present paper, we study the polynomial approximation of analytic functions of several complex variables. The characterizations of generalized type of analytic functions of several complex variables have been obtained in terms of approximation and interpolation errors.展开更多
各向异性非均匀介质中静态平面温度场问题与反平面应变、应力场问题近年来曾被许多作者研究过。在文献[1]中,David.L. Clements and C.Rogers在特殊情况下应用边界元方法得到了通解所满足的边界积分方程。本文将这二个问题化到广义解析...各向异性非均匀介质中静态平面温度场问题与反平面应变、应力场问题近年来曾被许多作者研究过。在文献[1]中,David.L. Clements and C.Rogers在特殊情况下应用边界元方法得到了通解所满足的边界积分方程。本文将这二个问题化到广义解析函数的边值问题,并且在文献[2]的基础上,提出了各向异性非均匀弹性介质中静态平面温度场问题与反平面应变、应力场问题的应力边值问题和位移边值问题的一种计算方法。采用这种方法,容易得到这二个边值问题的数值结果。最后,本文对具体例子进行讨论并且给出了该问题的数值结果。展开更多
基金supported by NNSF of China (11171260)RFDP of Higher Education of China (20100141110054)Scientific Research Fund of Leshan Normal University (Z1265)
文摘Let R0,n be the real Clifford algebra generated by e1, e2,... , en satisfying eiej＋ejei=-2δij,i,j=1,2…,ne0 is the unit element.Let Ω be an open set. A function f is called left generalized analytic in ft if f satisfies the equation Lf=0,where ……qi 〉0, i =-, 1, - ……, n. In this article, we first give the kernel function for the generalized analytic function. Further, the Hilbert boundary value problem for generalized analytic functions in Rn＋1 will be investigated.
文摘In the present paper, we study the polynomial approximation of analytic functions of several complex variables. The characterizations of generalized type of analytic functions of several complex variables have been obtained in terms of approximation and interpolation errors.
文摘各向异性非均匀介质中静态平面温度场问题与反平面应变、应力场问题近年来曾被许多作者研究过。在文献[1]中,David.L. Clements and C.Rogers在特殊情况下应用边界元方法得到了通解所满足的边界积分方程。本文将这二个问题化到广义解析函数的边值问题,并且在文献[2]的基础上,提出了各向异性非均匀弹性介质中静态平面温度场问题与反平面应变、应力场问题的应力边值问题和位移边值问题的一种计算方法。采用这种方法,容易得到这二个边值问题的数值结果。最后,本文对具体例子进行讨论并且给出了该问题的数值结果。
