DETERMINANTS OF A CERTAIN CLASS OF NONHERMITIAN TOEPLITZ MATRICES,
AARHUS UNIV (DENMARK)
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In this paper the authors establish an elementary identity between two determinants and illustrate its use as at a tool for investigating a certain class of Toeplitz determinants. The feature of the identity which makes it useful in such investigations is that it equates a determinant of large order n to one of fixed small order k. Thus, using only elementary techniques, precise information can be obtained on the asymptotic behavior of certain n x n Toeplitz determinants as n becomes infinite.