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Determinants of Hankel Matrices

โœ Scribed by Estelle L. Basor; Yang Chen; Harold Widom


Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
160 KB
Volume
179
Category
Article
ISSN
0022-1236

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โœฆ Synopsis


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.


๐Ÿ“œ SIMILAR VOLUMES


Polynomials and Hankel matrices
โœ Miroslav Fiedler ๐Ÿ“‚ Article ๐Ÿ“… 1985 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 513 KB
Hankel and Loewner matrices
โœ Miroslav Fiedler ๐Ÿ“‚ Article ๐Ÿ“… 1984 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 844 KB
Determinants of Partition Matrices
โœ Georg Martin Reinhart ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 532 KB

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