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Volumn 8, Issue 4, 2005, Pages 475-502

Difference equations and discriminants for discrete orthogonal polynomials

Author keywords

Bethe ansatz; Hahn and Meixner polynomials; Orthogonal polynomials

Indexed keywords


EID: 17444402877     PISSN: 13824090     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11139-005-0276-z     Document Type: Article
Times cited : (23)

References (14)
  • 1
    • 38249018616 scopus 로고
    • Estimates of asymmetric Freud polynomials on the real line
    • W. Bauldry, "Estimates of asymmetric Freud polynomials on the real line," J. Approx. Theory 63 (1990), 225-237.
    • (1990) J. Approx. Theory , vol.63 , pp. 225-237
    • Bauldry, W.1
  • 2
    • 38249017227 scopus 로고
    • Estimates of the Hermite and the Freud polynomials
    • S.S. Bonan and D.S. Clark, "Estimates of the Hermite and the Freud polynomials," J. Approx. Theory 63 (1990), 210-224.
    • (1990) J. Approx. Theory , vol.63 , pp. 210-224
    • Bonan, S.S.1    Clark, D.S.2
  • 3
    • 0041047668 scopus 로고    scopus 로고
    • Ladder operators and differential equations for orthogonal polynomials
    • Y. Chen and M.E.H. Ismail, "Ladder operators and differential equations for orthogonal polynomials," J. Phys. A 30 (1997), 7818-7829.
    • (1997) J. Phys. A , vol.30 , pp. 7818-7829
    • Chen, Y.1    Ismail, M.E.H.2
  • 6
    • 0000573182 scopus 로고
    • Über die Discriminante der in Endlichen abbrechenden hypergeometrischen Reihe
    • D. Hubert, "Über die Discriminante der in Endlichen abbrechenden hypergeometrischen Reihe," J. für die reine und angewandte Matematik 103 (1888), 337-345.
    • (1888) J. für die Reine und Angewandte Matematik , vol.103 , pp. 337-345
    • Hubert, D.1
  • 7
    • 0001665534 scopus 로고    scopus 로고
    • Discriminants and functions of the second kind of orthogonal polynomials
    • M.E.H. Ismail, "Discriminants and functions of the second kind of orthogonal polynomials," Result. Math. 34 (1998), 132-149.
    • (1998) Result. Math. , vol.34 , pp. 132-149
    • Ismail, M.E.H.1
  • 8
    • 0001293017 scopus 로고    scopus 로고
    • An electrostatic model for zeros of general orthogonal polynomials
    • M.E.H. Ismail, "An electrostatic model for zeros of general orthogonal polynomials," Pacific J. Math. 193 (2000), 355-369.
    • (2000) Pacific J. Math. , vol.193 , pp. 355-369
    • Ismail, M.E.H.1
  • 9
    • 0037949162 scopus 로고    scopus 로고
    • Difference equations and quantized discriminants for q-orthogonal polynomials
    • to appear
    • M.E.H. Ismail, "Difference equations and quantized discriminants for q-orthogonal polynomials," Advances in Applied Math. 30 (2003), to appear.
    • (2003) Advances in Applied Math. , vol.30
    • Ismail, M.E.H.1
  • 10
    • 0035413459 scopus 로고    scopus 로고
    • Q-discriminants and vertex operators
    • M.E.H. Ismail and N. Jing, "q-discriminants and vertex operators," Advances in Applied Math. 27 (2001), 482-492.
    • (2001) Advances in Applied Math. , vol.27 , pp. 482-492
    • Ismail, M.E.H.1    Jing, N.2
  • 11
  • 12
    • 0003349836 scopus 로고    scopus 로고
    • The Askey-scheme of hypergeometric orthogonal polynomials and its q-analogues
    • Delft University of Technology, Delft
    • R. Koekoek and R. Swarttouw, The Askey-scheme of hypergeometric orthogonal polynomials and its q-analogues, Reports of the Faculty of Technical Mathematics and Informatics, nos. 98-17, Delft University of Technology, Delft, 1998.
    • (1998) Reports of the Faculty of Technical Mathematics and Informatics , vol.98 , Issue.17
    • Koekoek, R.1    Swarttouw, R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.