메뉴 건너뛰기




Volumn 21, Issue 1, 2000, Pages 191-204

More on electrostatic models for zeros of orthogonal polynomials

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL METHODS; DIFFERENTIAL EQUATIONS; ELECTROSTATICS; MATHEMATICAL MODELS; POLES AND ZEROS;

EID: 0033907445     PISSN: 01630563     EISSN: None     Source Type: Journal    
DOI: 10.1080/01630560008816948     Document Type: Article
Times cited : (38)

References (24)
  • 2
    • 38249018616 scopus 로고
    • Estimates of asymmetric Freud polynomials on the real line
    • W. Bauldry, Estimates of asymmetric Freud polynomials on the real line, J. Approximation Theory 63 (1990), 225-237.
    • (1990) J. Approximation Theory , vol.63 , pp. 225-237
    • Bauldry, W.1
  • 3
    • 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. Approximation Theory 63 (1990), 210-224.
    • (1990) J. Approximation Theory , vol.63 , pp. 210-224
    • Bonan, S.S.1    Clark, D.S.2
  • 4
    • 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
  • 5
    • 0000235008 scopus 로고
    • Orthogonal polynomials and measures with end point masses
    • T. S. Chihara, Orthogonal polynomials and measures with end point masses, Rocky Mountain J. Math. 15 (1985), 705-719.
    • (1985) Rocky Mountain J. Math. , vol.15 , pp. 705-719
    • Chihara, T.S.1
  • 7
    • 0003735127 scopus 로고
    • Electrostatics and the zeros of the classical orthogonal polynomials
    • P. J. Forrester and J. B. Rogers, Electrostatics and the zeros of the classical orthogonal polynomials, SIAM J. Math. Anal. 17 (1986), 461-468.
    • (1986) SIAM J. Math. Anal. , vol.17 , pp. 461-468
    • Forrester, P.J.1    Rogers, J.B.2
  • 8
    • 0032207973 scopus 로고    scopus 로고
    • Variations on a theme of Stieltjes and Heine: An electrostatic interpretation of zeros of certain polynomials
    • F. A. Grunbaum, Variations on a theme of Stieltjes and Heine: an electrostatic interpretation of zeros of certain polynomials, J. Comp. Appl. Math. 99 (1998), 189-194.
    • (1998) J. Comp. Appl. Math. , vol.99 , pp. 189-194
    • Grunbaum, F.A.1
  • 9
    • 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
  • 10
  • 11
    • 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, Results in Math. 34 (1998), 132-149.
    • (1998) Results in Math. , vol.34 , pp. 132-149
    • Ismail, M.E.H.1
  • 12
    • 0343929134 scopus 로고    scopus 로고
    • An electrostatic model for zeros of general orthogonal polynomials
    • to appear
    • M. E. H. Ismail, An electrostatic model for zeros of general orthogonal polynomials, Pacific J. Math. (1999), to appear.
    • (1999) Pacific J. Math.
    • Ismail, M.E.H.1
  • 15
    • 0003855672 scopus 로고
    • An application of a new theorem on orthogonal polynomials and differential equations
    • L. L. Littlejohn, An application of a new theorem on orthogonal polynomials and differential equations, Quaestiones Math. 10 (1986), 49-61.
    • (1986) Quaestiones Math. , vol.10 , pp. 49-61
    • Littlejohn, L.L.1
  • 16
    • 46149132433 scopus 로고
    • Géza Freud, orthogonal polynomials and Christoffel functions: A case study
    • P. Nevai, Géza Freud, orthogonal polynomials and Christoffel functions: A case study, J. Approximation Theory 48 (1986), 3-167.
    • (1986) J. Approximation Theory , vol.48 , pp. 3-167
    • Nevai, P.1
  • 17
    • 0001778183 scopus 로고
    • Affektlose Gleichungen in der Theorie der Laguerreschen und Hermiteschen Polynomes
    • I. Schur, Affektlose Gleichungen in der Theorie der Laguerreschen und Hermiteschen Polynomes, J. für die Reine und Angewandte Matematik 165 (1931), 52-58.
    • (1931) J. Für die Reine und Angewandte Matematik , vol.165 , pp. 52-58
    • Schur, I.1
  • 18
    • 11744311462 scopus 로고
    • A differential equation for orthogonal polynomials
    • J. Shohat, A differential equation for orthogonal polynomials, Duke Math. J. 5 (1939), 401-417.
    • (1939) Duke Math. J. , vol.5 , pp. 401-417
    • Shohat, J.1
  • 20
    • 0038292280 scopus 로고    scopus 로고
    • Oeuvres Complètes, volume 1, pp. 440-441.
    • Oeuvres Complètes , vol.1 , pp. 440-441
  • 22
    • 0037954723 scopus 로고    scopus 로고
    • Oeuvres Complètes, volume 1, pp. 442-444.
    • Oeuvres Complètes , vol.1 , pp. 442-444
  • 24
    • 0042436720 scopus 로고
    • Non-linear recurrence relations and some derived orthogonal polynomials
    • J. Wimp and H. Kiesel, Non-linear recurrence relations and some derived orthogonal polynomials, Annals of Numerical Mathematics 2 (1995), 169-180.
    • (1995) Annals of Numerical Mathematics , vol.2 , pp. 169-180
    • Wimp, J.1    Kiesel, H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.