| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4625437 | Advances in Applied Mathematics | 2006 | 37 Pages |
Abstract
We present several identities of Cauchy-type determinants and Schur-type Pfaffians involving generalized Vandermonde determinants, which generalize Cauchy's determinant det(1/(xi+yj)) and Schur's Pfaffian Pf((xj−xi)/(xj+xi)). Some special cases of these identities are given by S. Okada and T. Sundquist. As an application, we give a relation for the Littlewood–Richardson coefficients involving a rectangular partition.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
