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Volumn 52, Issue 3, 2009, Pages 409-418

Variable-precision recurrence coefficients for nonstandard orthogonal polynomials

Author keywords

Bose Einstein orthogonal polynomials; Fermi Dirac oerthogonal polynomials; Freud orthogonal polynomials; Symbolic Chebyshev algorithm; Variable precision recurrence coefficients

Indexed keywords


EID: 70350351104     PISSN: 10171398     EISSN: 15729265     Source Type: Journal    
DOI: 10.1007/s11075-009-9283-2     Document Type: Article
Times cited : (8)

References (7)
  • 1
    • 17744367779 scopus 로고    scopus 로고
    • The mathematica package "Orthogonal Polynomials"
    • Cvetković, A., Milovanović, G.V.: The mathematica package "Orthogonal Polynomials". Facta Univ. (Niš), Math. Inform. 19, 17-36 (2004).
    • (2004) Math. Inform. , vol.19 , pp. 17-36
    • Cvetković, A.1    Milovanović, G.V.2
  • 3
    • 33750192515 scopus 로고    scopus 로고
    • Orthogonal polynomials, quadrature, and approximation: Computational methods and software (in Matlab)
    • Lecture Notes in Mathematics1883, F. Marcellán and W. AsscheVan (Eds.), Berlin: Springer
    • Gautschi, W.: Orthogonal polynomials, quadrature, and approximation: computational methods and software (in Matlab). In: Marcellán, F., van Assche, W. (eds.) Orthogonal Polynomials and Special Functions: Computation and Applications. Lecture Notes in Mathematics, vol. 1883. Springer, Berlin (2006).
    • (2006) Orthogonal Polynomials and Special Functions: Computation and Applications
    • Gautschi, W.1
  • 4
    • 84966211238 scopus 로고
    • Gaussian quadrature involving Einstein and Fermi functions with an application to summation of series
    • Gautschi, W., Milovanović, G.V.: Gaussian quadrature involving Einstein and Fermi functions with an application to summation of series. Math. Comput. 44(169), 177-190 (1985).
    • (1985) Math. Comput. , vol.44 , Issue.169 , pp. 177-190
    • Gautschi, W.1    Milovanović, G.V.2
  • 6
    • 0345982308 scopus 로고    scopus 로고
    • Strong asymptotics of polynomials orthogonal with respect to Freud weights
    • Kriecherbauer, T., McLaughlin, K.T.-R.: Strong asymptotics of polynomials orthogonal with respect to Freud weights. Int. Math. Res. Not. 6, 299-333 (1999).
    • (1999) Int. Math. Res. Not. , vol.6 , pp. 299-333
    • Kriecherbauer, T.1    McLaughlin, K.T.-R.2
  • 7
    • 0041622149 scopus 로고    scopus 로고
    • On the nonnegative solution of a Freud three-term recurrence
    • Noschese, S., Pasquini, L.: On the nonnegative solution of a Freud three-term recurrence. J. Approx. Theory 99(1), 54-67 (1999).
    • (1999) J. Approx. Theory , vol.99 , Issue.1 , pp. 54-67
    • Noschese, S.1    Pasquini, L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.