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On vector Hankel determinants

โœ Scribed by A. Salam


Book ID
108360529
Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
107 KB
Volume
313
Category
Article
ISSN
0024-3795

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๐Ÿ“œ SIMILAR VOLUMES


What is a vector Hankel determinant
โœ A. Salam ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 732 KB

In this paper, a Hankel determinant whose entries belong to a real finite dimensional vector space is defined. Such a Hankel determinant appears, purely as a computational process result (lacking of any property), in the algebraic approach to the vector c-algorithm and in the theory of vector orthog

Determinants of Hankel Matrices
โœ Estelle L. Basor; Yang Chen; Harold Widom ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 160 KB

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.

Evaluation of some Hankel determinants
โœ Qing-Hu Hou; Alain Lascoux; Yan-Ping Mu ๐Ÿ“‚ Article ๐Ÿ“… 2005 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 89 KB
Hankel determinants of sums of consecuti
โœ Naiomi T. Cameron; Andrew C.M. Yip ๐Ÿ“‚ Article ๐Ÿ“… 2011 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 466 KB

We use combinatorial methods to evaluate Hankel determinants for the sequence of sums of consecutive t-Motzkin numbers. More specifically, we consider the following determinant: where t is a real number and m t k is the total weight of all paths from (0, 0) to (k, 0) that stay above the x-axis and