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Volumn 132, Issue 1, 2002, Pages 135-166

Zeros of Sobolev orthogonal polynomials of Hermite type

Author keywords

Hermite polynomials; Sobolev orthogonal polynomials; Symmetrically coherent pairs; Zeros

Indexed keywords


EID: 0036778786     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(01)00183-7     Document Type: Article
Times cited : (6)

References (8)
  • 1
    • 0001468482 scopus 로고
    • On polynomials orthogonal with respect to certain Sobolev inner products
    • A. Iserles P.E. Koch S.P. Nørsett J.M. Sanz-Serna On polynomials orthogonal with respect to certain Sobolev inner products J. Approx. Theory 65 1991 151 175
    • (1991) J. Approx. Theory , vol.65 , pp. 151-175
    • Iserles, A.1    Koch, P.E.2    Nørsett, S.P.3    Sanz-Serna, J.M.4
  • 2
    • 0000038453 scopus 로고
    • Orthogonal polynomials on Sobolev spaces: old and new directions
    • F. Marcellán M. Alfaro M.L. Rezola Orthogonal polynomials on Sobolev spaces: old and new directions J. Comput. Appl. Math. 48 1993 113 131
    • (1993) J. Comput. Appl. Math. , vol.48 , pp. 113-131
    • Marcellán, F.1    Alfaro, M.2    Rezola, M.L.3
  • 3
    • 0002170299 scopus 로고    scopus 로고
    • A short history of orthogonal polynomials in a Sobolev space, I. The nondiscrete case
    • H.G. Meijer A short history of orthogonal polynomials in a Sobolev space, I. The nondiscrete case Nieuw Arch. Wisk 14 4 1996 93 112
    • (1996) Nieuw Arch. Wisk , vol.14 , Issue.4 , pp. 93-112
    • Meijer, H.G.1
  • 4
    • 0031161776 scopus 로고    scopus 로고
    • Determination of all coherent pairs
    • H.G. Meijer Determination of all coherent pairs J. Approx. Theory 89 1997 321 343
    • (1997) J. Approx. Theory , vol.89 , pp. 321-343
    • Meijer, H.G.1
  • 6
    • 85120099986 scopus 로고    scopus 로고
    • G. Szegő, Orthogonal Polynomials, 4th ed., Colloq. Publ., AMS, Providence, RI, vol. 23, 1975
  • 7
    • 0034656518 scopus 로고    scopus 로고
    • Asymptotics of Sobolev orthogonal polynomials for coherent pairs of Laguerre type
    • H.G. Meijer T.E. Pérez M.A. Piñar Asymptotics of Sobolev orthogonal polynomials for coherent pairs of Laguerre type J. Math. Anal. Appl. 245 2000 528 546
    • (2000) J. Math. Anal. Appl. , vol.245 , pp. 528-546
    • Meijer, H.G.1    Pérez, T.E.2    Piñar, M.A.3
  • 8
    • 85120098247 scopus 로고
    • I.N. Sneddon The Use of Integral Transforms 1974 TMH Edition New Delhi
    • (1974)
    • Sneddon, I.N.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.