Weak and strong asymptotics of orthogonal polynomials with > weight

A. I. Aptekarev

Contemporary Mathematics. Fundamental Directions, Dedicated to 70th anniversary of the President of the RUDN University V. M. Filippov, Tome 67 (2021) no. 3, pp. 427-441.

Résumé

We consider sequences of orthogonal polynomials with varying weights, i.e., depending on the number of the polynomial. We obtain extensions of applicability classes of well-known asymptotic formulas for large numbers.

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