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Teoreticheskaya i Matematicheskaya Fizika, 1995, Volume 102, Number 1, Pages 32–39 (Mi tmf1245)  
This article is cited in 6 scientific papers (total in 6 papers)

Orthogonality of Askey–Wilson polynomials with respect to a measure of Ramanujan type

N. M. Atakishiyev

Institute of Physics Azerbaijan Academy of Sciences
Full-text PDF (671 kB) Citations (6)
Abstract: Orthogonality of the Askey–Wilson polynomials with respect to a Ramanujan-type measure, admitting the transformation $q \to q^{-1} $, is proved. A simple way of evaluating the Askey–Wilson $q$-beta integral is also given.
Received: 18.03.1994
English version:
Theoretical and Mathematical Physics, 1995, Volume 102, Issue 1, Pages 23–28
DOI: https://doi.org/10.1007/BF01017450
Bibliographic databases:
Language: Russian
Citation: N. M. Atakishiyev, “Orthogonality of Askey–Wilson polynomials with respect to a measure of Ramanujan type”, TMF, 102:1 (1995), 32–39; Theoret. and Math. Phys., 102:1 (1995), 23–28
Citation in format AMSBIB
\Bibitem{Ata95}
\by N.~M.~Atakishiyev
\paper Orthogonality of Askey--Wilson polynomials with respect to a~measure of Ramanujan type
\jour TMF
\yr 1995
\vol 102
\issue 1
\pages 32--39
\mathnet{http://mi.mathnet.ru/tmf1245}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1348618}
\zmath{https://zbmath.org/?q=an:0867.33013}
\transl
\jour Theoret. and Math. Phys.
\yr 1995
\vol 102
\issue 1
\pages 23--28
\crossref{https://doi.org/10.1007/BF01017450}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1995RM76500003}
Linking options:
  • https://www.mathnet.ru/eng/tmf1245
  • https://www.mathnet.ru/eng/tmf/v102/i1/p32
    • This publication is cited in the following 6 articles:
    1. El Moize O., Mouayn Z., “A Q-Deformation of True-Polyanalytic Bargmann Transforms When Q(-1) > 1”, C. R. Math., 359:10 (2021), 1295–1305  crossref  isi
    2. M K Atakishiyeva, N M Atakishiyev, “Fourier - Gauss transforms of the continuous bigq-Hermite polynomials”, J. Phys. A: Math. Gen., 30:16 (1997), L559  crossref
    3. M K Atakishiyeva, N M Atakishiyev, “Fourier - Gauss transforms of the Al-Salam - Chihara polynomials”, J. Phys. A: Math. Gen., 30:19 (1997), L655  crossref
    4. N M Atakishiyev, “Fourier - Gauss transforms of the Askey - Wilson polynomials”, J. Phys. A: Math. Gen., 30:24 (1997), L815  crossref
    5. Natig M Atakishiyev, “Ramanujan-type continuous measures for biorthogonalq-rational functions”, J. Phys. A: Math. Gen., 29:2 (1996), 329  crossref
    6. N. M. Atakishiyev, “Ramanujan-type continuous measures for classical $q$-polynomials”, Theoret. and Math. Phys., 105:3 (1995), 1500–1508  mathnet  crossref  mathscinet  zmath  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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