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。
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.
出处
《绍兴文理学院学报(自然科学版)》
2005年第7期22-25,共4页
Journal of Shaoxing College of Arts and Sciences