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Volumn 212, Issue 1, 2007, Pages 1-36

Discrete orthogonal polynomials and difference equations of several variables

Author keywords

Discrete orthogonal polynomials; Second order difference equations; Several variables

Indexed keywords


EID: 34047247213     PISSN: 00018708     EISSN: 10902082     Source Type: Journal    
DOI: 10.1016/j.aim.2006.09.012     Document Type: Article
Times cited : (43)

References (12)
  • 1
    • 0002803522 scopus 로고
    • Characterization theorems for orthogonal polynomials
    • Orthogonal Polynomials. Columbus, OH, 1989, Kluwer Acad. Publ., Dordrecht
    • Al-Salam W.A. Characterization theorems for orthogonal polynomials. Orthogonal Polynomials. Columbus, OH, 1989. NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci. vol. 294 (1990), Kluwer Acad. Publ., Dordrecht 1-24
    • (1990) NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci. , vol.294 , pp. 1-24
    • Al-Salam, W.A.1
  • 2
    • 0003282466 scopus 로고    scopus 로고
    • Orthogonal Polynomials of Several Variables
    • Cambridge Univ. Press, Cambridge
    • Dunkl C.F., and Xu Y. Orthogonal Polynomials of Several Variables. Encyclopedia Math. Appl. vol. 81 (2001), Cambridge Univ. Press, Cambridge
    • (2001) Encyclopedia Math. Appl. , vol.81
    • Dunkl, C.F.1    Xu, Y.2
  • 3
    • 0035732868 scopus 로고    scopus 로고
    • Discrete models of the harmonic oscillator and a discrete analogue of Gauss' hypergeometric equation
    • Grünbaum F.A. Discrete models of the harmonic oscillator and a discrete analogue of Gauss' hypergeometric equation. Ramanujan J. 5 (2001) 263-270
    • (2001) Ramanujan J. , vol.5 , pp. 263-270
    • Grünbaum, F.A.1
  • 4
    • 0002344242 scopus 로고
    • Linear growth models with many types and multidimensional Hahn polynomials
    • Theory and Application of Special Functions. Askey R.A. (Ed), Academic Press, New York
    • Karlin S., and McGregor J. Linear growth models with many types and multidimensional Hahn polynomials. In: Askey R.A. (Ed). Theory and Application of Special Functions. Math. Res. Center, Univ. Wisconsin Publ. No. 35 (1975), Academic Press, New York 261-288
    • (1975) Math. Res. Center, Univ. Wisconsin , vol.Publ. 35 , pp. 261-288
    • Karlin, S.1    McGregor, J.2
  • 5
    • 34047273475 scopus 로고
    • A multi-dimensional linear growth birth and death process
    • Milch P.R. A multi-dimensional linear growth birth and death process. Ann. Math. Statist. 39 (1968) 727-754
    • (1968) Ann. Math. Statist. , vol.39 , pp. 727-754
    • Milch, P.R.1
  • 7
    • 0003372422 scopus 로고
    • Basic Algebraic Geometry
    • Springer, New York-Heidelberg
    • Shafarevich I. Basic Algebraic Geometry. Grundlehren Math. Wiss. vol. 213 (1974), Springer, New York-Heidelberg
    • (1974) Grundlehren Math. Wiss. , vol.213
    • Shafarevich, I.1
  • 8
    • 0009278315 scopus 로고
    • Multivariable biorthogonal Hahn polynomials
    • Tratnik M.V. Multivariable biorthogonal Hahn polynomials. J. Math. Phys. 30 (1989) 627-634
    • (1989) J. Math. Phys. , vol.30 , pp. 627-634
    • Tratnik, M.V.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
    • (1989) J. Math. Phys. , vol.30 , pp. 2740-2749
    • Tratnik, M.V.1
  • 10
    • 0009125166 scopus 로고
    • Some multivariable orthogonal polynomials of the Askey tableau-discrete families
    • 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
    • 4344712043 scopus 로고    scopus 로고
    • On discrete orthogonal polynomials of several variables
    • Xu Y. On discrete orthogonal polynomials of several variables. Adv. in Appl. Math. 33 (2004) 615-632
    • (2004) Adv. in Appl. Math. , vol.33 , pp. 615-632
    • Xu, Y.1
  • 12
    • 16244408065 scopus 로고    scopus 로고
    • Second-order difference equations and discrete orthogonal polynomials of two variables
    • Xu Y. Second-order difference equations and discrete orthogonal polynomials of two variables. Int. Math. Res. Not. 8 (2005) 449-475
    • (2005) Int. Math. Res. Not. , vol.8 , pp. 449-475
    • Xu, Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.