1) generalized Cauchy number
广义Cauchy数
1.
An explicit computational formula of the generalized Cauchy numbers was given by means of the Stirling numbers,and then the relationships of the explicit computational formula with each of the Stirling numbers,Bernoulli numbers and Euler numbers were discussed,and some identities involving the Cauchy numbers were obtained.
利用Stirling数给出广义Cauchy数的显式计算公式,并讨论其分别与Stirling数、Bernoulli数和Euler数之间的关系,得到了包含广义Cauchy数的一些恒等式,并改进了已有的卷积公式。
2) generalized Cauchy matrice
广义Cauchy矩阵
1.
Using the criteria on a full row or column rank solutions of Sylvester equation, the authors discuss the full row or column rank properties of generalized Loewner matrice、Hankel matrice and generalized Cauchy matrice.
利用Sylvester方程具有行满秩或列满秩解的判定准则研究广义Loewner矩阵、Hankel矩阵和广义Cauchy矩阵的行(列)满秩性。
3) generalized Cauchy's formula
广义Cauchy公式
4) generatized Cauchy problem
广义Cauchy问题
5) generalized Cauchy type integral
广义Cauchy型积分
1.
Furthermore,the stability and error estimate of generalized Cauchy type integral when integral curve perturbs are also obtained,the stability of Cauchy type integral when integral curve perturbs is generalized.
其次,利用拆项积分法讨论了广义Cauchy型积分关于积分曲线边界摄动的稳定性及相应的误差估计,将Cauchy型积分关于积分曲线边界摄动的稳定性结果进行了推广。
6) generalized Cauchy mean value theorem
广义Cauchy中值定理
补充资料：广义
范围较宽的定义（跟‘狭义’相对）：～的杂文也可以包括小品文在内。
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