Symmetry, Integrability and Geometry: Methods and Applications
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


SIGMA:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Symmetry, Integrability and Geometry: Methods and Applications, 2009, Volume 5, 076, 22 pp.
DOI: https://doi.org/10.3842/SIGMA.2009.076 (Mi sigma421) 		 
This article is cited in 16 scientific papers (total in 16 papers)

The Symmetrical $H_q$-Semiclassical Orthogonal Polynomials of Class One

Abdallah Ghressi, Lotfi Khériji

Université de Gabès
Full-text PDF (363 kB) Citations (16)
References:
PDF
HTML
DOI: https://doi.org/10.3842/SIGMA.2009.076
Abstract: We investigate the quadratic decomposition and duality to classify symmetrical $H_q$-semiclassical orthogonal $q$-polynomials of class one where $H_q$ is the Hahn's operator. For any canonical situation, the recurrence coefficients, the $q$-analog of the distributional equation of Pearson type, the moments and integral or discrete representations are given.
Keywords: quadratic decomposition of symmetrical orthogonal polynomials; semiclassical form; integral representations; $q$-difference operator; $q$-series representations; the $q$-analog of the distributional equation of Pearson type.
Received: December 12, 2008; in final form July 7, 2009; Published online July 22, 2009
Bibliographic databases:
Document Type: Article
MSC: 33C45; 42C05
Language: English
Citation: Abdallah Ghressi, Lotfi Khériji, “The Symmetrical $H_q$-Semiclassical Orthogonal Polynomials of Class One”, SIGMA, 5 (2009), 076, 22 pp.
Citation in format AMSBIB
\Bibitem{GhrKhe09}
\by Abdallah Ghressi, Lotfi Kh\'eriji
\paper The Symmetrical $H_q$-Semiclassical Orthogonal Polynomials of Class One
\jour SIGMA
\yr 2009
\vol 5
\papernumber 076
\totalpages 22
\mathnet{http://mi.mathnet.ru/sigma421}
\crossref{https://doi.org/10.3842/SIGMA.2009.076}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2529171}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000271092200012}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84889235317}
Linking options:
  • https://www.mathnet.ru/eng/sigma421
  • https://www.mathnet.ru/eng/sigma/v5/p76
    • This publication is cited in the following 16 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Symmetry, Integrability and Geometry: Methods and Applications
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024