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Russian Academy of Sciences. Sbornik. Mathematics, 1993, Volume 76, Issue 1, Pages 35–50
DOI: https://doi.org/10.1070/SM1993v076n01ABEH003400 (Mi sm1122) 		 
This article is cited in 31 scientific papers (total in 32 papers)

Asymptotics of orthogonal polynomials in a neighborhood of the endpoints of the interval of orthogonality

A. I. Aptekarev
English version PDF (642 kB) Citations (32) Russian version article
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DOI: https://doi.org/10.1070/SM1993v076n01ABEH003400
Abstract: The well-known Mehler–Heine asymptotic formula for the classical Jacobi polynomials is extended to broader classes of orthogonal polynomials.
Received: 15.05.1991
Bibliographic databases:
UDC: 517.5
MSC: Primary 33C45, 41A60; Secondary 42C05
Language: English
Original paper language: Russian
Citation: A. I. Aptekarev, “Asymptotics of orthogonal polynomials in a neighborhood of the endpoints of the interval of orthogonality”, Russian Acad. Sci. Sb. Math., 76:1 (1993), 35–50
Citation in format AMSBIB
\Bibitem{Apt92}
\by A.~I.~Aptekarev
\paper Asymptotics of orthogonal polynomials in a~neighborhood of the~endpoints of the~interval of orthogonality
\jour Russian Acad. Sci. Sb. Math.
\yr 1993
\vol 76
\issue 1
\pages 35--50
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\crossref{https://doi.org/10.1070/SM1993v076n01ABEH003400}
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\zmath{https://zbmath.org/?q=an:0782.33005|0772.33003}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?1993SbMat..76...35A}
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  • https://doi.org/10.1070/SM1993v076n01ABEH003400
  • https://www.mathnet.ru/eng/sm/v183/i5/p43
    • This publication is cited in the following 32 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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