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, 2011, Volume 7, 017, 5 pp.
DOI: https://doi.org/10.3842/SIGMA.2011.017 (Mi sigma575) 		 
This article is cited in 11 scientific papers (total in 11 papers)

Orthogonality Relations for Multivariate Krawtchouk Polynomials

Hiroshi Mizukawa

Department of Mathematics, National Defense Academy of Japan, Yokosuka 239-8686, Japan
Full-text PDF (290 kB) Citations (11)
References:
PDF
HTML
DOI: https://doi.org/10.3842/SIGMA.2011.017
Abstract: The orthogonality relations of multivariate Krawtchouk polynomials are discussed. In case of two variables, the necessary and sufficient conditions of orthogonality is given by Grünbaum and Rahman in [<i>SIGMA</i> <b>6</b> (2010), 090, 12 pages]. In this study, a simple proof of the necessary and sufficient condition of orthogonality is given for a general case.
Keywords: multivariate orthogonal polynomial; hypergeometric function.
Received: September 8, 2010; in final form February 18, 2011; Published online February 22, 2011
Bibliographic databases:
Document Type: Article
MSC: 33C45
Language: English
Citation: Hiroshi Mizukawa, “Orthogonality Relations for Multivariate Krawtchouk Polynomials”, SIGMA, 7 (2011), 017, 5 pp.
Citation in format AMSBIB
\Bibitem{Miz11}
\by Hiroshi Mizukawa
\paper Orthogonality Relations for Multivariate Krawtchouk Polynomials
\jour SIGMA
\yr 2011
\vol 7
\papernumber 017
\totalpages 5
\mathnet{http://mi.mathnet.ru/sigma575}
\crossref{https://doi.org/10.3842/SIGMA.2011.017}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2804579}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000287879000001}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84855217089}
Linking options:
  • https://www.mathnet.ru/eng/sigma575
  • https://www.mathnet.ru/eng/sigma/v7/p17
    • This publication is cited in the following 11 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
    Statistics & downloads:
    Abstract page:335
    Full-text PDF :75
    References:84
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024