Weak and strong asymptotics of orthogonal polynomials with > weight
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

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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.
@article{CMFD_2021_67_3_a1,
     author = {A. I. Aptekarev},
     title = {Weak and strong asymptotics of orthogonal polynomials with <<varying>> weight},
     journal = {Contemporary Mathematics. Fundamental Directions},
     pages = {427--441},
     publisher = {mathdoc},
     volume = {67},
     number = {3},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CMFD_2021_67_3_a1/}
}
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A. I. Aptekarev. Weak and strong asymptotics of orthogonal polynomials with <> weight. 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. http://geodesic.mathdoc.fr/item/CMFD_2021_67_3_a1/