Some determinants of Pascal-like matrices
β Scribed by Wang, Xiaoyuan
- Book ID
- 118124680
- Publisher
- Taylor and Francis Group
- Year
- 2012
- Tongue
- English
- Weight
- 577 KB
- Volume
- 35
- Category
- Article
- ISSN
- 1607-3606
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Starting from recent formulas for calculating the permanents of some sparse circulant matrices, we obtain more general formulas expressing the permanents of a wider class of matrices as a linear combination of appropriate determinants.
Let : 1 , ..., : k be partitions of 2n with at least n 1's and ; 1 , ..., ; k be partitions of 2n with exactly n parts. By M n we denote the matrix whose entries m ij are the number of ways to refine ; j into : i . It is shown that det M n =1 for all n. 1996 Academic Press, Inc. ## 1. Introduction
The purpose of this paper is to compute asymptotically Hankel determinants for weights that are supported in a semi-infinite interval. The main idea is to reduce the problem to determinants of other operators whose determinant asymptotics are well known.