Geodesic
G.~Szeg\"o's limit relation and properties of the corresponding orthogonal polynomials
Izvestiya. Mathematics , Tome 7 (1973) no. 5, pp. 1185-1198

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We establish the validity of Szegö's limit theorem under the least restrictive hypotheses on the parameters of the system of orthogonal polynomials, and discuss some of the properties of the polynomials under these hypotheses. 
@article{IM2_1973_7_5_a9,
     author = {Ya. L. Geronimus},
     title = {G.~Szeg\"o's limit relation and properties of the corresponding orthogonal polynomials},
     journal = {Izvestiya. Mathematics },
     pages = {1185--1198},
     publisher = {mathdoc},
     volume = {7},
     number = {5},
     year = {1973},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1973_7_5_a9/}
}
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Ya. L. Geronimus. G.~Szeg\"o's limit relation and properties of the corresponding orthogonal polynomials. Izvestiya. Mathematics , Tome 7 (1973) no. 5, pp. 1185-1198. http://geodesic.mathdoc.fr/item/IM2_1973_7_5_a9/