一类广义的Cauchy行列式

The Generalizations of Cauchy's Double Alternant

利用Laplace展开公式证明了一类广义的Cauchy行列式,并利用差商运算给出几个有趣的Cauchy行列式的推广形式.

Applying the Laplace expansion formula,a generalization of the Cauchy determinant formula is established. Several interesting extensions of Cauchy determinant identities are derived as consequences by means of divided differences.