Finite differences and determinant identities

作者：Wenchang Chu^*

来源：Linear Algebra and Its Applications, 2009, 430(1): 215-228.

DOI：10.1016/j.laa.2007.08.044

• Finite difference
• Binomial coefficient
• Symmetric functions
• Cauchy's double alternant
• Hankel determinant
• Vandermonde determinant
• Wronskian determinant

Determinants of higher derivatives of composite functions are evaluated as limits of the corresponding ones concerning finite differences. As examples, several interesting identities of Wronskian and Hankel determinants are consequently derived.

• 出版日期2009-1-1
• 单位大连理工大学