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Mathematics of the USSR-Izvestiya, 1973, Volume 7, Issue 5, Pages 1185–1198
DOI: https://doi.org/10.1070/IM1973v007n05ABEH002001 (Mi im2357) 		 
G. Szegö's limit relation and properties of the corresponding orthogonal polynomials

Ya. L. Geronimus
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DOI: https://doi.org/10.1070/IM1973v007n05ABEH002001
Abstract: 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.
Received: 27.11.1972
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1973, Volume 37, Issue 5, Pages 1186–1199
Bibliographic databases:
UDC: 517.5
MSC: 42A52, 30A82, 41A10, 41A50
Language: English
Original paper language: Russian
Citation: Ya. L. Geronimus, “G. Szegö's limit relation and properties of the corresponding orthogonal polynomials”, Izv. Akad. Nauk SSSR Ser. Mat., 37:5 (1973), 1186–1199; Math. USSR-Izv., 7:5 (1973), 1185–1198
Citation in format AMSBIB
\Bibitem{Ger73}
\by Ya.~L.~Geronimus
\paper G.~Szeg\"o's limit relation and properties of the corresponding orthogonal polynomials
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1973
\vol 37
\issue 5
\pages 1186--1199
\mathnet{http://mi.mathnet.ru/im2357}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=344787}
\zmath{https://zbmath.org/?q=an:0309.42007}
\transl
\jour Math. USSR-Izv.
\yr 1973
\vol 7
\issue 5
\pages 1185--1198
\crossref{https://doi.org/10.1070/IM1973v007n05ABEH002001}
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    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    References:51
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