Asymptotic behavior of orthogonal polynomials without the Carleman condition
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DOI: 10.1016/j.jfa.2020.108648
Abstract: Our goal is to find an asymptotic behavior as $n\to\infty$ of orthogonal polynomials $P_{n}(z)$ defined by the Jacobi recurrence coefficients $a_{n}, b_{n}$. We suppose that the off-diagonal coefficients $a_{n}$ grow so rapidly that the series… read more here.
Keywords: orthogonal polynomials; carleman condition; condition; polynomials without ... See more keywords