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Gersgorin location of zeros for perturbed Chebyshev polynomials of second kind

Preprint

We consider some perturbed of the Chebyshev polynomials of second kind obtained by modifying one of its recurrence coefficients at an arbitrary order. By applying Gersgorin circle theorems to Jacobi matrices associated to perturbed Chebyshev polynomials of second kind, we obtain some locations of their zeros.

Publication

Year of publication: 2021

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Preprint