C^n 空间中有界域上第Ⅰ型 Cauchy-Fantappie' 公式的另一种形式

Anather Form of Ⅰ Cauchy-Fantappie′ Formula on Bounded Domain in C n

得到的Ｃｎ空间中有界域上全纯函数积分表示，其积分核含有全纯函数导数，是第Ⅰ型Ｃａｕｃｈｙ—Ｆａｎｔａｐｐｉｅ′公式的另一种形式。利用这个公式，通过适当选择其中向量函数，可以得到许多域上全纯函数的第Ⅰ型积分的拓广形式。

This paper centres on the derivation of an integral representation of holomorphio functions on bounded domain in C n, the kernel of which bears derivatives with holomorphic functions. Hence another form of type Ⅰ Cauchy-Fantappie′ formula. With this formula, the corresponding type Ⅰ integral representations of holomorphic function on various bounded domain can be obtained on the basis of proper selection of its vecter function.