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Volumn 82, Issue 1-2, 1997, Pages 59-78

Asymptotics of extreme zeros of the Meixner-Pollaczek polynomials

Author keywords

Asymptotics; Chain sequences; Coulomb fluid method; Inequalities; Meixner polynomials; Zeros

Indexed keywords

COMPUTATIONAL METHODS; POLYNOMIALS;

EID: 0031237588     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(97)00093-9     Document Type: Article
Times cited : (12)

References (21)
  • 1
    • 0010060808 scopus 로고
    • Gap formation probability of the α-Ensemble
    • Y. Chen, K.J. Eriksen, Gap formation probability of the α-Ensemble, Internat. J. Mod. Phys. B 9 (1995) 1205-1225.
    • (1995) Internat. J. Mod. Phys. B , vol.9 , pp. 1205-1225
    • Chen, Y.1    Eriksen, K.J.2
  • 2
    • 36149032364 scopus 로고
    • Largest eigenvalue distribution in the double scaling limit of matrix models: A Coulomb fluid approach
    • Y. Chen, K.J. Eriksen, C.A. Tracy, Largest eigenvalue distribution in the double scaling limit of matrix models: a Coulomb fluid approach, J. Phys. A 28 (1995) L207-L211.
    • (1995) J. Phys. A , vol.28
    • Chen, Y.1    Eriksen, K.J.2    Tracy, C.A.3
  • 3
    • 0039706635 scopus 로고    scopus 로고
    • Hermitean matrix ensembles and orthogonal polynomials
    • to appear
    • Y. Chen, M.E.H. Ismail, Hermitean matrix ensembles and orthogonal polynomials, Stud. Appl. Math. (1997) to appear.
    • (1997) Stud. Appl. Math.
    • Chen, Y.1    Ismail, M.E.H.2
  • 6
    • 35549006412 scopus 로고
    • Statistical theory of energy levels of complex systems, I, II, III
    • F.J. Dyson, Statistical theory of energy levels of complex systems, I, II, III, J. Math. Phys. 3 (1962) 140-156, 157-165, 166-175.
    • (1962) J. Math. Phys. , vol.3 , pp. 140-156
    • Dyson, F.J.1
  • 8
    • 0001293703 scopus 로고    scopus 로고
    • Unitary random-matrix ensemble with governable level confinement
    • F. Freilikher, E. Kanzieper, I. Yurkevich, Unitary random-matrix ensemble with governable level confinement, Phys. Rev. E 53 (1996) 2200-2209.
    • (1996) Phys. Rev. E , vol.53 , pp. 2200-2209
    • Freilikher, F.1    Kanzieper, E.2    Yurkevich, I.3
  • 10
    • 0041893383 scopus 로고    scopus 로고
    • Plancherel-Rotach type asymptotics of the Meixner polynomials
    • to appear
    • W.M.Y. Goh, Plancherel-Rotach type asymptotics of the Meixner polynomials, Constructive Approximation (1997), to appear.
    • (1997) Constructive Approximation
    • Goh, W.M.Y.1
  • 11
    • 0000968479 scopus 로고
    • Bounds on the extreme zeros of orthogonal polynomials
    • M.E.H. Ismail, X. Li, Bounds on the extreme zeros of orthogonal polynomials, Proc. Amer. Math. Soc. 115 (1992) 131-140.
    • (1992) Proc. Amer. Math. Soc. , vol.115 , pp. 131-140
    • Ismail, M.E.H.1    Li, X.2
  • 12
    • 84966219619 scopus 로고
    • A. discrete approach to monotonicity of zeros of orthogonal polynomials
    • M.E.H. Ismail, M. Muldoon, A. discrete approach to monotonicity of zeros of orthogonal polynomials, Trans. Amer. Math. Soc. 323 (1991) 65-78.
    • (1991) Trans. Amer. Math. Soc. , vol.323 , pp. 65-78
    • Ismail, M.E.H.1    Muldoon, M.2
  • 13
    • 85087249296 scopus 로고    scopus 로고
    • Uniform asymptotic expansions for Meixner polynomials
    • to appear
    • X.-S. Jin R. Wong, Uniform asymptotic expansions for Meixner polynomials, Constructive Approximation, to appear.
    • Constructive Approximation
    • Jin, X.-S.1    Wong, R.2
  • 14
    • 0000625846 scopus 로고
    • A survery of general orthogonal polynomials for weights on finite and infinite intervals
    • D.S. Lubinsky, A survery of general orthogonal polynomials for weights on finite and infinite intervals, Acta Appl. Math. 10 (1987) 237-296.
    • (1987) Acta Appl. Math. , vol.10 , pp. 237-296
    • Lubinsky, D.S.1
  • 15
    • 0001071858 scopus 로고
    • An update on orthogonal polynomials and weighted approximation on the real line
    • D.S. Lubinsky, An update on orthogonal polynomials and weighted approximation on the real line, Acta Appl. Math. 33 (1993) 121-164.
    • (1993) Acta Appl. Math. , vol.33 , pp. 121-164
    • Lubinsky, D.S.1
  • 16
    • 0001462684 scopus 로고
    • Asymptotics for the greatest zero of orthogonal polynomials
    • A. Maté, P. Nevai, V. Totik, Asymptotics for the greatest zero of orthogonal polynomials, SIAM J. Math. Anal. 17 (1986) 745-751.
    • (1986) SIAM J. Math. Anal. , vol.17 , pp. 745-751
    • Maté, A.1    Nevai, P.2    Totik, V.3
  • 17
    • 84963002147 scopus 로고
    • Asymptotics for the zeros of orthogonal polynomials associated with infinite intervals
    • A. Maté, P. Nevai, V. Totik, Asymptotics for the zeros of orthogonal polynomials associated with infinite intervals, J. London Math. Soc. 33 (2) (1986) 303-310.
    • (1986) J. London Math. Soc. , vol.33 , Issue.2 , pp. 303-310
    • Maté, A.1    Nevai, P.2    Totik, V.3
  • 18
    • 0002534477 scopus 로고
    • Where does the sup-norm of the weighted polynomials live
    • H.N. Mhaskar, E.B. Saff, Where does the sup-norm of the weighted polynomials live, Constructive Approximation 1 (1985) 71-91.
    • (1985) Constructive Approximation , vol.1 , pp. 71-91
    • Mhaskar, H.N.1    Saff, E.B.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.