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Volumn 31, Issue 5, 2000, Pages 992-1029

Uniform asymptotic formula for orthogonal polynomials with exponential weight

Author keywords

Exponential weight; Orthogonal polynomials; Turning point; Uniform asymptotic approximation; Zeros

Indexed keywords


EID: 0034345311     PISSN: 00361410     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036141098344671     Document Type: Article
Times cited : (12)

References (9)
  • 1
    • 84972559146 scopus 로고
    • Asymptotics for solutions of systems of smooth recurrence equations
    • W. C. BAULDRY, A. MÁTÉ, AND P. NEVAI, Asymptotics for solutions of systems of smooth recurrence equations, Pacific J. Math., 133 (1988), pp. 209-227.
    • (1988) Pacific J. Math. , vol.133 , pp. 209-227
    • Bauldry, W.C.1    Máté, A.2    Nevai, P.3
  • 3
    • 0041047668 scopus 로고    scopus 로고
    • Ladder operators and differential equations for orthogonal polynomials
    • Y. CHEN AND E. H. ISMAIL, Ladder operators and differential equations for orthogonal polynomials, J. Phys. A., 30 (1997), pp. 7818-7829.
    • (1997) J. Phys. A. , vol.30 , pp. 7818-7829
    • Chen, Y.1    Ismail, E.H.2
  • 4
    • 0001462684 scopus 로고
    • Asymptotics for the greatest zeros of orthogonal polynomials
    • A. MÁTÉ, P. NEVAI, AND V. TOTIK, Asymptotics for the greatest zeros of orthogonal polynomials, SIAM J. Math. Anal., 17 (1986), pp. 745-751.
    • (1986) SIAM J. Math. Anal. , pp. 745-751
    • Máté, A.1    Nevai, P.2    Totik, V.3
  • 5
    • 0001341314 scopus 로고
    • Asymptotic expansions of ratios of coefficients of orthogonal polynomials with exponential weights
    • A. MÁTÉ, P. NEVAI, AND T. ZASLAVSKY, Asymptotic expansions of ratios of coefficients of orthogonal polynomials with exponential weights, Trans. Amer. Math. Soc., 287 (1985), pp. 495-505.
    • (1985) Trans. Amer. Math. Soc. , vol.287 , pp. 495-505
    • Máté, A.1    Nevai, P.2    Zaslavsky, T.3
  • 9
    • 0004073954 scopus 로고
    • Colloquium Publications, AMS, Providence, RI
    • G. SZEGÖ, Orthogonal Polynomials, 4th ed., Colloquium Publications, Vol. 23, AMS, Providence, RI, 1975.
    • (1975) Orthogonal Polynomials, 4th Ed. , vol.23
    • Szegö, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.