它的形式很多,只要被微分算子作用后等于零的函数都是解析函数.中曾给出了一个简洁的方法, 不过有些错误,本文通过一个反例指出了其错误所在.另外在此基础上给出了一个更为简洁的方法(定理1), 并且将它推广到了八元数分析中(定理2),得到了一个复分析，四元数分析，Clifford分析以及八元数分析中各类解析函数构造的一个统一的公式.
The analytic function is the basis of complex analysis,
quaternion analysis, Clifford analysis as well as octonion analysis.
It took many forms. The function is analytic function So long as after by the derivative operator. a simple has given in , but some mistakes. This article has pointed out its mistake through a counter-example. Moreover, in this paper, a more concise way is given(Theorem 1), And promoted it in octonion analysis(Theorem 2).
Then we obtain an united formula to construct all kinds of analytic functions in complex analysis, quaternion analysis, Clifford analysis, and also in octonion analysis.