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Volumn 36, Issue 2, 2012, Pages 215-242

Orthogonal Polynomials on a Bi-lattice

Author keywords

Charlier polynomials; Discrete orthogonal polynomials; Discrete Painlev equations; Meixner polynomials; Non linear recurrence relations; Recurrence coefficients

Indexed keywords


EID: 84865638443     PISSN: 01764276     EISSN: 14320940     Source Type: Journal    
DOI: 10.1007/s00365-011-9145-8     Document Type: Article
Times cited : (35)

References (18)
  • 1
    • 78751486416 scopus 로고    scopus 로고
    • Recurrence coefficients of generalized Meixner polynomials and Painlevé equations
    • 035202
    • Boelen, L., Filipuk, G., van Assche, W.: Recurrence coefficients of generalized Meixner polynomials and Painlevé equations. J. Phys. A, Math. Theor. 44, 035202 (2011).
    • (2011) J. Phys. A, Math. Theor. , vol.44
    • Boelen, L.1    Filipuk, G.2    van Assche, W.3
  • 2
    • 64549129485 scopus 로고    scopus 로고
    • Painlevé V and the distribution function of a discontinuous linear statistic in the Laguerre unitary ensembles
    • 035203
    • Basor, E., Chen, Y.: Painlevé V and the distribution function of a discontinuous linear statistic in the Laguerre unitary ensembles. J. Phys. A, Math. Theor. 42, 035203 (2009).
    • (2009) J. Phys. A, Math. Theor. , vol.42
    • Basor, E.1    Chen, Y.2
  • 3
    • 73249150106 scopus 로고    scopus 로고
    • Painlevé V and time-dependent Jacobi polynomials
    • 015204
    • Basor, E., Chen, Y., Ehrhardt, T.: Painlevé V and time-dependent Jacobi polynomials. J. Phys. A, Math. Theor. 43, 015204 (2010).
    • (2010) J. Phys. A, Math. Theor. , vol.43
    • Basor, E.1    Chen, Y.2    Ehrhardt, T.3
  • 4
    • 78149406443 scopus 로고    scopus 로고
    • Painlevé V and a Pollaczek-Jacobi type orthogonal polynomials
    • Chen, Y., Dai, D.: Painlevé V and a Pollaczek-Jacobi type orthogonal polynomials. J. Approx. Theory 162, 2149-2167 (2010).
    • (2010) J. Approx. Theory , vol.162 , pp. 2149-2167
    • Chen, Y.1    Dai, D.2
  • 5
    • 33748980936 scopus 로고    scopus 로고
    • Painlevé IV and degenerate Gaussian unitary ensembles
    • Chen, Y., Feigin, M.: Painlevé IV and degenerate Gaussian unitary ensembles. J. Phys. A, Math. Gen. 39, 12381-12393 (2006).
    • (2006) J. Phys. A, Math. Gen. , vol.39 , pp. 12381-12393
    • Chen, Y.1    Feigin, M.2
  • 6
    • 0041047668 scopus 로고    scopus 로고
    • Ladder operators and differential equations for orthogonal polynomials
    • Chen, Y., Ismail, M. E. H.: Ladder operators and differential equations for orthogonal polynomials. J. Phys. A, Math. Gen. 30, 7817-7829 (1997).
    • (1997) J. Phys. A, Math. Gen. , vol.30 , pp. 7817-7829
    • Chen, Y.1    Ismail, M.E.H.2
  • 7
    • 74149085017 scopus 로고    scopus 로고
    • Painlevé III and a singular linear statistics in Hermitian random matrix ensembles, I
    • Chen, Y., Its, A.: Painlevé III and a singular linear statistics in Hermitian random matrix ensembles, I. J. Approx. Theory 162, 270-297 (2010).
    • (2010) J. Approx. Theory , vol.162 , pp. 270-297
    • Chen, Y.1    Its, A.2
  • 8
    • 17044428502 scopus 로고    scopus 로고
    • Orthogonal polynomials with discontinuous weights
    • Chen, Y., Pruessner, G.: Orthogonal polynomials with discontinuous weights. J. Phys. A, Math. Gen. 38, L191-L198 (2005).
    • (2005) J. Phys. A, Math. Gen. , vol.38
    • Chen, Y.1    Pruessner, G.2
  • 9
    • 77955720294 scopus 로고    scopus 로고
    • Painlevé VI and the unitary Jacobi ensembles
    • Chen, Y., Zhang, L.: Painlevé VI and the unitary Jacobi ensembles. Stud. Appl. Math. 125, 91-112 (2010).
    • (2010) Stud. Appl. Math. , vol.125 , pp. 91-112
    • Chen, Y.1    Zhang, L.2
  • 10
    • 0004165067 scopus 로고
    • Mathematics and Its Applications, New York: Gordon and Breach
    • Chihara, T. S.: An Introduction to Orthogonal Polynomials. Mathematics and Its Applications, vol. 13. Gordon and Breach, New York (1978).
    • (1978) An Introduction to Orthogonal Polynomials , vol.13
    • Chihara, T.S.1
  • 11
    • 33847074584 scopus 로고    scopus 로고
    • Discrete Painlevé equations: A review
    • Berlin: Springer
    • Grammaticos, B., Ramani, A.: Discrete Painlevé equations: A review. In: Lecture Notes in Physics, vol. 644, pp. 245-321. Springer, Berlin (2004).
    • (2004) Lecture Notes in Physics , vol.644 , pp. 245-321
    • Grammaticos, B.1    Ramani, A.2
  • 12
    • 78650047416 scopus 로고    scopus 로고
    • Nonlinear equations for the recurrence coefficients of discrete orthogonal polynomials
    • Ismail, M. E. H., Simeonov, P.: Nonlinear equations for the recurrence coefficients of discrete orthogonal polynomials. J. Math. Anal. Appl. 376, 259-274 (2011).
    • (2011) J. Math. Anal. Appl. , vol.376 , pp. 259-274
    • Ismail, M.E.H.1    Simeonov, P.2
  • 15
    • 0038984584 scopus 로고
    • Asymptotics for the simplest generalized Jacobi polynomials recurrence coefficients from Freud's equations: Numerical explorations
    • Magnus, A.: Asymptotics for the simplest generalized Jacobi polynomials recurrence coefficients from Freud's equations: Numerical explorations. Ann. Numer. Math. 2, 311-325 (1995).
    • (1995) Ann. Numer. Math. , vol.2 , pp. 311-325
    • Magnus, A.1
  • 17
    • 78650038496 scopus 로고    scopus 로고
    • Discrete Painlevé equations for recurrence coefficients of orthogonal polynomials
    • Hackensack: World Scientific
    • van Assche, W.: Discrete Painlevé equations for recurrence coefficients of orthogonal polynomials. In: Difference Equations, Special Functions and Orthogonal Polynomials, pp. 687-725. World Scientific, Hackensack (2007).
    • (2007) Difference Equations, Special Functions and Orthogonal Polynomials , pp. 687-725
    • van Assche, W.1
  • 18
    • 34147115380 scopus 로고    scopus 로고
    • Analysis of nonlinear recurrence relations for the recurrence coefficients of generalized Charlier polynomials
    • van Assche, W., Foupouagnigni, M.: Analysis of nonlinear recurrence relations for the recurrence coefficients of generalized Charlier polynomials. J. Nonlinear Math. Phys. 10(Suppl. 2), 231-237 (2003).
    • (2003) J. Nonlinear Math. Phys. , vol.10 , Issue.SUPPL. 2 , pp. 231-237
    • van Assche, W.1    Foupouagnigni, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.