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While this case may not exhibit a visible sparsity in the connection problem, such as bandedness, it would be worthwhile exploring methods to formulate the connection coefficients as solutions to matrix equations. Compared with previous approaches to rational measure modifications [29, 49, 61], ...
We show that the testing for real unstable roots can be achieved by examining the stability of a finite number of corner polynomials (obtained by setting parameters at their extreme values), while checking for unstable complex roots normally involves examining the real solutions of up to m + 1...
Nevai, Asymptotics for the solutions of systems of smooth recurrence equations, manuscript. Google Scholar [Bax1] G Baxter A convergence equivalence related to polynomials orthogonal on the unit circle Trans. Amer. Math. Soc., 99 (1961), pp. 471-487 View in ScopusGoogle Scholar [Bax2] G ...
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