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Approximation properties of the Vallée-Poussin means similar to the partial sums of Fourier series in Laguerre-Sobolev polynomials. (English. Russian original) Zbl 07538030

Sib. Math. J. 63, No. 3, 451-465 (2022); translation from Sib. Mat. Zh. 63, No. 3, 545-561 (2022).
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Some properties of Sobolev orthogonal polynomials associated with Chebyshev polynomials of the second kind. (English) Zbl 07437851

Kusraev, Anatoly G. (ed.) et al., Operator theory and differential equations. Selected papers based on the presentations at the 15th conference on order analysis and related problems of mathematical modeling, Vladikavkaz, Russia, July 15–20, 2019. Cham: Birkhäuser. Trends Math., 259-273 (2021).
MSC:  42C05 33C45 46E35
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Approximation properties of Vallée Poussin means for special series of ultraspherical Jacobi polynomials. (English) Zbl 1484.33015

Kusraev, Anatoly G. (ed.) et al., Operator theory and differential equations. Selected papers based on the presentations at the 15th conference on order analysis and related problems of mathematical modeling, Vladikavkaz, Russia, July 15–20, 2019. Cham: Birkhäuser. Trends Math., 107-120 (2021).
MSC:  33C45 41A25 42C10
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Approximation properties of the Vallée-Poussin means of partial sums of a special series in Laguerre polynomials. (English. Russian original) Zbl 07431868

Math. Notes 110, No. 4, 475-488 (2021); translation from Mat. Zametki 110, No. 4, 483-497 (2021).
MSC:  33Cxx 42Cxx 41Axx
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On the explicit representation of polyorthogonal polynomials. (English. Russian original) Zbl 1472.41008

Russ. Math. 65, No. 4, 72-80 (2021); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2021, No. 4, 80-89 (2021).
MSC:  41A21 33C45 42C05
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Interplay between opers, quantum curves, WKB analysis, and Higgs bundles. (English) Zbl 1469.14067

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