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Volumn 98, Issue 1, 1999, Pages 146-166

A uniform asymptotic formula for orthogonal polynomials associated with exp(-x4)

Author keywords

Freud weight; Orthognal polynomials; point; turning; uniform asymptotic approximation; zeros

Indexed keywords


EID: 0033130508     PISSN: 00219045     EISSN: None     Source Type: Journal    
DOI: 10.1006/jath.1998.3282     Document Type: Article
Times cited : (16)

References (10)
  • 1
    • 0000383297 scopus 로고
    • Asymptotic forms for Laguerre polynomials
    • Erdélyi A. Asymptotic forms for Laguerre polynomials. J. Indian Math. Soc. 24:1960;235-250.
    • (1960) J. Indian Math. Soc. , vol.24 , pp. 235-250
    • Erdélyi, A.1
  • 2
    • 0000569707 scopus 로고
    • Nonnegative solutions of a nonlinear recurrence
    • Lew J. S., Quarles D. A. Jr. Nonnegative solutions of a nonlinear recurrence. J. Approx. Theory. 38:1983;357-379.
    • (1983) J. Approx. Theory , vol.38 , pp. 357-379
    • Lew J., S.1    Quarles D. A., Jr.2
  • 4
    • 0001462684 scopus 로고
    • Asymptotics for the greatest zeros of orthogonal polynomials
    • Máté A., Nevai P., Totik V. Asymptotics for the greatest zeros of orthogonal polynomials. SIAM J. Math. Anal. 17:1986;745-751.
    • (1986) SIAM J. Math. Anal. , vol.17 , pp. 745-751
    • Máté, A.1    Nevai, P.2    Totik, V.3
  • 7
    • 46149132433 scopus 로고
    • Orthogonal polynomials and Christoffel functions: A case study
    • Nevai P., Freud G. Orthogonal polynomials and Christoffel functions: a case study. J. Approx. Theory. 48:1986;3-167.
    • (1986) J. Approx. Theory , vol.48 , pp. 3-167
    • Nevai, P.1    Freud, G.2
  • 9
    • 11744311462 scopus 로고
    • A differential equation for orthogonal polynomials
    • Shohat J. 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
  • 10
    • 0004073954 scopus 로고
    • Orthogonal Polynomials
    • Providence: Am. Math. Soc.
    • Szegö G. Orthogonal Polynomials. Colloq. Publ. 23:1967;Am. Math. Soc. Providence.
    • (1967) Colloq. Publ. , vol.23
    • Szegö, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.