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Formulas for the Evaluation of Toeplitz Determinants with Rational Generating Functions

✍ Scribed by E. L. Basor; P. J. Forrester

Publisher
John Wiley and Sons
Year
2006
Tongue
English
Weight
539 KB
Volume
170
Category
Article
ISSN
0025-584X

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✦ Synopsis

A well known formula for evaluating Toeplitz determinants with rational generating functions due to DAY [Trans. Amer. Math. SOC. 206 (1975), 224 -2451 is complemented by a little known formula involving determinant of reduced order. The latter formula is used to evaluate some Toeplitz determinants with special rational generating functions in terms of the Barnes G-function and the Gauss hypergeometric function.

πŸ“œ SIMILAR VOLUMES

Asymptotics of block Toeplitz determinan
Asymptotics of block Toeplitz determinants generated by factorable matrix functions with equal partial indices
✍ Alexei Yu. Karlovich πŸ“‚ Article πŸ“… 2007 πŸ› John Wiley and Sons 🌐 English βš– 156 KB

## Abstract We prove asymptotic formulas for block Toeplitz matrices with symbols admitting right and left Wiener–Hopf factorizations such that all partial indices are equal to some integer number. We consider symbols and Wiener–Hopf factorizations in Wiener algebras with weights satisfying natural