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
β Scribed by Qing-Hu Hou; Alain Lascoux; Yan-Ping Mu
- Book ID
- 108047072
- Publisher
- Elsevier Science
- Year
- 2005
- Tongue
- English
- Weight
- 89 KB
- Volume
- 34
- Category
- Article
- ISSN
- 0196-8858
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
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
A procedure for the numerical evaluation of the nth-order Hankel transform is presented. It is based on an extension of the zeroth-order algorithm proposed by S. Candel. Using an integral representation of the Bessel function, a formula is derived for the transform as a weighted integral of the Four