文献类型：期刊文献

中文题名：阶乘幂的差分算子及其逆

英文题名：The Difference Operator of Factorial Power and Its Inverse

作者：孙建新[1];胡金杰[1]

机构：[1]绍兴文理学院数学系，浙江绍兴312000

年份：2005

卷号：25

期号：7

起止页码：22

中文期刊名：绍兴文理学院学报：自然科学版

外文期刊名：Journal of Shaoxing College of Arts and Sciences

语种：中文

中文关键词：差分算子;乘幂;逆算子;积分算子;微分算子;对偶公式;多项式;定理;乘积

外文关键词：difference operator; inverse operator; Leibniz' formula;polynomial of factorial power

中文摘要：与微分算子及其逆算子积分算子作比较，讨论了差分算子及其逆算子(和分)．主要结果为关于乘积的k-阶差分的Leibniz公式(定理6．3)以及乘积的k-阶和分的对偶公式(定理6．4)。显然，差分算子及其逆算子是阶乘幂多项式的方便工具。

外文摘要：In comparison with the differential operator and its inverse - integral operator, the difference operator and its inverse (sum operator) are discussed in this paper. The main results are the Leibniz' formula of difference of k - order of product( Th. 6.3 ) and its dual form - the formula of sum of k - order of product ( Th . 6.4) . Clearly, the difference operator or sum operator is the convenient tool for the polynomial of factorial powers.