메뉴 건너뛰기




Volumn , Issue 8, 2005, Pages 449-475

Second-order difference equations and discrete orthogonal polynomials of two variables

Author keywords

[No Author keywords available]

Indexed keywords


EID: 16244408065     PISSN: 10737928     EISSN: None     Source Type: Journal    
DOI: 10.1155/imrn.2005.449     Document Type: Article
Times cited : (28)

References (15)
  • 1
    • 0002803522 scopus 로고
    • Characterization theorems for orthogonal polynomials
    • Orthogonal Polynomials (Columbus, Ohio, 1989), Kluwer Academic Publishers, Dordrecht
    • W. A. Al-Salam, Characterization theorems for orthogonal polynomials, Orthogonal Polynomials (Columbus, Ohio, 1989), NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci., vol. 294, Kluwer Academic Publishers, Dordrecht, 1990, pp. 1-24.
    • (1990) NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci. , vol.294 , pp. 1-24
    • Al-Salam, W.A.1
  • 2
    • 21844506329 scopus 로고
    • On two-dimensional definite orthogonal systems and a lower bound for the number of nodes of associated cubature formulae
    • H. Berens, H. Schmid, and Y. Xu, On two-dimensional definite orthogonal systems and a lower bound for the number of nodes of associated cubature formulae, SIAM J. Math. Anal. 26 (1995), no. 2, 468-487.
    • (1995) SIAM J. Math. Anal. , vol.26 , Issue.2 , pp. 468-487
    • Berens, H.1    Schmid, H.2    Xu, Y.3
  • 4
    • 0003282466 scopus 로고    scopus 로고
    • Orthogonal polynomials of several variables
    • Cambridge University Press, Cambridge
    • C. F. Dunkl and Y. Xu, Orthogonal Polynomials of Several Variables, Encyclopedia of Mathematics and Its Applications, vol. 81, Cambridge University Press, Cambridge, 2001.
    • (2001) Encyclopedia of Mathematics and Its Applications , vol.81
    • Dunkl, C.F.1    Xu, Y.2
  • 5
    • 0002344242 scopus 로고
    • Linear growth models with many types and multidimensional Hahn polynomials
    • Math. Res. Center, Univ. Wisconsin, Madison, Wis, 1975 (R. A. Askey, ed.), Math. Res. Center, Univ. Wisconsin, Publ., no. 35, Academic Press, New York
    • S. Karlin and J. McGregor, Linear growth models with many types and multidimensional Hahn polynomials, Theory and Application of Special Functions (Proc. Advanced Sem., Math. Res. Center, Univ. Wisconsin, Madison, Wis, 1975) (R. A. Askey, ed.), Math. Res. Center, Univ. Wisconsin, Publ., no. 35, Academic Press, New York, 1975, pp. 261-288.
    • (1975) Theory and Application of Special Functions(Proc. Advanced Sem.) , pp. 261-288
    • Karlin, S.1    McGregor, J.2
  • 6
    • 0032208736 scopus 로고    scopus 로고
    • Partial differential equations having orthogonal polynomial solutions
    • Y. J. Kim, K. H. Kwon, and J. K. Lee, Partial differential equations having orthogonal polynomial solutions, J. Comput. Appl. Math. 99 (1998), no. 1-2, 239-253.
    • (1998) J. Comput. Appl. Math. , vol.99 , Issue.1-2 , pp. 239-253
    • Kim, Y.J.1    Kwon, K.H.2    Lee, J.K.3
  • 7
    • 0003884388 scopus 로고    scopus 로고
    • The askey-scheme of hypergeometric orthogonal polynomials and its q-analogue
    • Delft University of Technology, Delft
    • R. Koekoek and R. Swarttouw, The Askey-scheme of hypergeometric orthogonal polynomials and its q-analogue, Tech. Report 98-17, Delft University of Technology, Delft, 1998, http://aw.twi.tudelft.nl/~koekoek/askey/index.html.
    • (1998) Tech. Report , vol.98 , Issue.17
    • Koekoek, R.1    Swarttouw, R.2
  • 8
    • 0000188322 scopus 로고
    • Orthogonal polynomials in two variables
    • H. L. Krall and I. M. Sheffer, Orthogonal polynomials in two variables, Ann. Mat. Pura Appl. (4) 76 (1967), 325-376.
    • (1967) Ann. Mat. Pura Appl. (4) , vol.76 , pp. 325-376
    • Krall, H.L.1    Sheffer, I.M.2
  • 9
    • 23044527799 scopus 로고    scopus 로고
    • Orthogonal polynomial eigenfunctions of second-order partial differential equations
    • K. H. Kwon, J. K. Lee, and L. Littlejohn, Orthogonal polynomial eigenfunctions of second-order partial differential equations, Trans. Amer. Math. Soc. 353 (2001), no. 9, 3629-3647.
    • (2001) Trans. Amer. Math. Soc. , vol.353 , Issue.9 , pp. 3629-3647
    • Kwon, K.H.1    Lee, J.K.2    Littlejohn, L.3
  • 10
    • 0041149776 scopus 로고
    • Orthogonal polynomial solutions to ordinary and partial differential equations
    • Orthogonal Polynomials and Their Applications (Segovia, 1986), Springer, Berlin
    • L. L. Littlejohn, Orthogonal polynomial solutions to ordinary and partial differential equations, Orthogonal Polynomials and Their Applications (Segovia, 1986), Lecture Notes in Math., vol. 1329, Springer, Berlin, 1988, pp. 98-124.
    • (1988) Lecture Notes in Math. , vol.1329 , pp. 98-124
    • Littlejohn, L.L.1
  • 12
    • 0012584238 scopus 로고    scopus 로고
    • Orthogonal polynomials in two variables
    • Gordon and Breach Science Publishers, Amsterdam, translated from the 1988 Russian original by E. V. Pankratiev
    • P. K. Suetin, Orthogonal Polynomials in Two Variables, Analytical Methods and Special Functions, vol. 3, Gordon and Breach Science Publishers, Amsterdam, 1999, translated from the 1988 Russian original by E. V. Pankratiev.
    • (1999) Analytical Methods and Special Functions , vol.3
    • Suetin, P.K.1
  • 13
    • 0001684503 scopus 로고
    • Multivariable meixner, krawtchouk, and meixner-pollaczek polynomials
    • M. V. Tratnik, Multivariable Meixner, Krawtchouk, and Meixner-Pollaczek polynomials, J. Math. Phys. 30 (1989), no. 12, 2740-2749.
    • (1989) J. Math. Phys. , vol.30 , Issue.12 , pp. 2740-2749
    • Tratnik, M.V.1
  • 14
    • 0009125166 scopus 로고
    • Some multivariable orthogonal polynomials of the Askey tableau-discrete families
    • _, Some multivariable orthogonal polynomials of the Askey tableau-discrete families, J. Math. Phys. 32 (1991), no. 9, 2337-2342.
    • (1991) J. Math. Phys. , vol.32 , Issue.9 , pp. 2337-2342
  • 15
    • 4344712043 scopus 로고    scopus 로고
    • On discrete orthogonal polynomials of several variables
    • Y. Xu, On discrete orthogonal polynomials of several variables, Adv. in Appl. Math. 33 (2004), no. 3, 615-632.
    • (2004) Adv. in Appl. Math. , vol.33 , Issue.3 , pp. 615-632
    • Xu, Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.