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math.SP2015
Factorization of the characteristic function of a Jacobi matrix
F. Stampach, P. Stovicek
In a recent paper a class of infinite Jacobi matrices with discrete character of spectra has been introduced. With each Jacobi matrix from this class an analytic function is associ…
math.SP2015★ 8 cited
Family of explicitly diagonalizable weighted Hankel matrices generalizing the Hilbert matrix
Pavel Stovicek, Tomas Kalvoda
A three-parameter family of weighted Hankel matrices is introduced with the entries \[ B_{j,k}=\frac{Γ(j+k+a)}{Γ(j+k+b+c)}\,\sqrt{\frac{Γ(j+b)Γ(j+c)Γ(k+b)Γ(k+c)}{Γ(j+a…