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Volumn 33, Issue 3, 2004, Pages 615-632

On discrete orthogonal polynomials of several variables

Author keywords

Discrete orthogonal polynomials; Favard's theorem; Several variables; Three term relation

Indexed keywords


EID: 4344712043     PISSN: 01968858     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.aam.2004.03.002     Document Type: Article
Times cited : (47)

References (12)
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    • Karlin S. McGregor J. Linear growth models with many types and multidimensional Hahn polynomials in: Askey R.A. (Ed.) Theory and Applications of Special Functions 1975 261-288 Academic Press New York
    • (1975) Theory and Applications of Special Functions , pp. 261-288
    • Karlin, S.1    McGregor, J.2
  • 5
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    • The Askey-scheme of hypergeometric orthogonal polynomials and its q-analog
    • 98-17 the Netherlands: Delft available at
    • Koekoek R. Swarttouw R. The Askey-scheme of hypergeometric orthogonal polynomials and its q-analog Rep. Fac. Tech. Math. Inform. vol. 98-17 1998 Delft the Netherlands, available at http:/aw.twi.tudelft.nl/~koekoek/research_en.html.
    • (1998) Rep. Fac. Tech. Math. Inform.
    • Koekoek, R.1    Swarttouw, R.2
  • 8
    • 0037382602 scopus 로고    scopus 로고
    • Introduction to Leonard pairs
    • OPSFA Rome 2001
    • Terwilliger P. Introduction to Leonard pairs OPSFA Rome 2001 J. Comput. Appl. Math. 153 2 2003 463-475
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    • Terwilliger, P.1
  • 9
    • 0001684503 scopus 로고
    • Multivariable Meixner, Krawtchouk, and Meixner-Pollaczek polynomials
    • Tratnik M.V. Multivariable Meixner, Krawtchouk, and Meixner-Pollaczek polynomials J. Math. Phys. 30 1989 2740-2749
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    • Tratnik, M.V.1
  • 10
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    • Tratnik M.V. Some multivariable orthogonal polynomials of the Askey tableau-discrete families J. Math. Phys. 32 1991 2337-2342
    • (1991) J. Math. Phys. , vol.32 , pp. 2337-2342
    • Tratnik, M.V.1
  • 11
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    • On multivariable orthogonal polynomials
    • Xu Y. On multivariable orthogonal polynomials SIAM J. Math. Anal. 24 1993 783-794
    • (1993) SIAM J. Math. Anal. , vol.24 , pp. 783-794
    • Xu, Y.1
  • 12
    • 0040093798 scopus 로고
    • Block Jacobi matrices and zeros of multivariable orthogonal polynomials
    • Xu Y. Block Jacobi matrices and zeros of multivariable orthogonal polynomials Trans. Amer. Math. Soc. 342 1994 855-866
    • (1994) Trans. Amer. Math. Soc. , vol.342 , pp. 855-866
    • Xu, Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.