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- W2030325848 abstract "We study the monotonicity with respect to a parameter of zeros of orthogonal polynomials. Our method uses the tridiagonal (Jacobi) matrices arising from the three-term recurrence relation for the polynomials. We obtain new results on monotonicity of zeros of associated Laguerre, Al-Salam-Carlitz, Meixner and Pollaczek polynomials. We also derive inequalities for the zeros of the Al-Salam-Carlitz and Meixner polynomials." @default.
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- W2030325848 title "A discrete approach to monotonicity of zeros of orthogonal polynomials" @default.
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- W2030325848 doi "https://doi.org/10.1090/s0002-9947-1991-1014251-8" @default.
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