메뉴 건너뛰기




Volumn 2006, Issue , 2006, Pages

Asymptotics of orthogonal polynomials with respect to an analytic weight with algebraic singularities on the circle

Author keywords

[No Author keywords available]

Indexed keywords


EID: 33749525489     PISSN: 10737928     EISSN: 16870247     Source Type: Journal    
DOI: 10.1155/IMRN/2006/91426     Document Type: Article
Times cited : (25)

References (19)
  • 3
    • 0033443150 scopus 로고    scopus 로고
    • On the distribution of the length of the longest increasing subsequence of random permutations
    • J. Baik P. Deift K. Johansson On the distribution of the length of the longest increasing subsequence of random permutations. Journal of the American Mathematical Society 12 1999 4 1119 1178
    • (1999) Journal of the American Mathematical Society , vol.12 , Issue.4 , pp. 1119-1178
    • Baik, J.1    Deift, P.2    Johansson, K.3
  • 4
    • 3042719196 scopus 로고
    • The Fisher-Hartwig conjecture and generalizations
    • E. L. Basor C. A. Tracy The Fisher-Hartwig conjecture and generalizations. Physica A 177 1991 1-3 167 173
    • (1991) Physica a , vol.177 , Issue.1-3 , pp. 167-173
    • Basor, E.L.1    Tracy, C.A.2
  • 5
    • 0003878705 scopus 로고
    • Cambridge Tracts in Mathematics and Mathematical Physics, no. 45Cambridge University Press New York
    • J. W. S. Cassels An Introduction to Diophantine Approximation. Cambridge Tracts in Mathematics and Mathematical Physics, no. 45 Cambridge University Press New York 1957 x+166
    • (1957) An Introduction to Diophantine Approximation
    • Cassels, J.W.S.1
  • 6
    • 0003608444 scopus 로고    scopus 로고
    • Courant Lecture Notes in Mathematics New York University, Courant Institute of Mathematical Sciences New York
    • P. A. Deift Orthogonal Polynomials and Random Matrices: A Riemann-Hilbert Approach. Courant Lecture Notes in Mathematics 3 New York University, Courant Institute of Mathematical Sciences New York 1999 viii+273
    • (1999) Orthogonal Polynomials and Random Matrices: A Riemann-Hilbert Approach , vol.3
    • Deift, P.A.1
  • 8
    • 0033440723 scopus 로고    scopus 로고
    • Uniform asymptotics for polynomials orthogonal with respect to varying exponential weights and applications to universality questions in random matrix theory
    • P. Deift T. Kriecherbauer K. T.-R. McLaughlin S. Venakides X. Zhou Uniform asymptotics for polynomials orthogonal with respect to varying exponential weights and applications to universality questions in random matrix theory. Communications on Pure and Applied Mathematics 52 1999 11 1335 1425
    • (1999) Communications on Pure and Applied Mathematics , vol.52 , Issue.11 , pp. 1335-1425
    • Deift, P.1    Kriecherbauer, T.2    McLaughlin, K.T.-R.3    Venakides, S.4    Zhou, X.5
  • 10
    • 0344509265 scopus 로고    scopus 로고
    • Riemann-Hilbert analysis for orthogonal polynomials
    • Lecture Notes in Math. Springer Berlin
    • A. B. J. Kuijlaars Riemann-Hilbert analysis for orthogonal polynomials. Orthogonal Polynomials and Special Functions (Leuven, 2002) Lecture Notes in Math. 1817 167 210 Springer Berlin 2003
    • (2003) Orthogonal Polynomials and Special Functions (Leuven, 2002) , vol.1817 , pp. 167-210
    • Kuijlaars, A.B.J.1
  • 12
    • 0344120364 scopus 로고    scopus 로고
    • Universality for eigenvalue correlations at the origin of the spectrum
    • A. B. J. Kuijlaars M. Vanlessen Universality for eigenvalue correlations at the origin of the spectrum. Communications in Mathematical Physics 243 2003 1 163 191
    • (2003) Communications in Mathematical Physics , vol.243 , Issue.1 , pp. 163-191
    • Kuijlaars, A.B.J.1    Vanlessen, M.2
  • 13
    • 33747637122 scopus 로고    scopus 로고
    • Szegö orthogonal polynomials with respect to an analytic weight:canonical representation and strong asymptotics
    • A. Martínez-Finkelshtein K. T.-R. McLaughlin E. B. Saff Szegö orthogonal polynomials with respect to an analytic weight:canonical representation and strong asymptotics. Constructive Approximation 24 2006 3 319 363
    • (2006) Constructive Approximation , vol.24 , Issue.3 , pp. 319-363
    • Martínez-Finkelshtein, A.1    McLaughlin, K.T.-R.2    Saff, E.B.3
  • 15
    • 27344459336 scopus 로고    scopus 로고
    • American Mathematical Society Colloquium Publications American Mathematical Society Rhode Island
    • B. Simon Orthogonal Polynomials on the Unit Circle. Part 1. American Mathematical Society Colloquium Publications 54 American Mathematical Society Rhode Island 2005 xxvi+466
    • (2005) Orthogonal Polynomials on the Unit Circle. Part 1 , vol.54
    • Simon, B.1
  • 16
    • 27344459336 scopus 로고    scopus 로고
    • American Mathematical Society Colloquium Publications American Mathematical Society Rhode Island 467-1044
    • B. Simon Orthogonal Polynomials on the Unit Circle. Part 2. American Mathematical Society Colloquium Publications 54 American Mathematical Society Rhode Island 2005 i-xxii and 467-1044
    • (2005) Orthogonal Polynomials on the Unit Circle. Part 2 , vol.54
    • Simon, B.1
  • 17
    • 85171886530 scopus 로고
    • On an inequality for modified Bessel functions
    • R. P. Soni On an inequality for modified Bessel functions. Journal of Mathematical Physics 44 1965 406 407
    • (1965) Journal of Mathematical Physics , vol.44 , pp. 406-407
    • Soni, R.P.1
  • 18
    • 0003217929 scopus 로고
    • American Mathematical Society, Colloquium Publications American Mathematical Society Rhode Island4th
    • G. Szego Orthogonal Polynomials. American Mathematical Society, Colloquium Publications 23 American Mathematical Society Rhode Island 4th 1975 xiii+432
    • (1975) Orthogonal Polynomials , vol.23
    • Szego, G.1
  • 19
    • 0348222398 scopus 로고    scopus 로고
    • Strong asymptotics of the recurrence coefficients of orthogonal polynomials associated to the generalized Jacobi weight
    • M. Vanlessen Strong asymptotics of the recurrence coefficients of orthogonal polynomials associated to the generalized Jacobi weight. Journal of Approximation Theory 125 2003 2 198 237
    • (2003) Journal of Approximation Theory , vol.125 , Issue.2 , pp. 198-237
    • Vanlessen, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.