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Volumn 171, Issue 1-2, 2004, Pages 199-234

The Sobolev orthogonality and spectral analysis of the Laguerre polynomials {Ln-k} for positive integers k

Author keywords

Laguerre polynomials; Left definite theory; Orthogonal polynomials; Self adjoint operators; Sobolev spaces

Indexed keywords

DIFFERENTIAL EQUATIONS; EIGENVALUES AND EIGENFUNCTIONS; MATHEMATICAL OPERATORS; POLYNOMIALS;

EID: 3042598671     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2004.01.017     Document Type: Article
Times cited : (23)

References (19)
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    • Chisholm, R.S.1    Everitt, W.N.2
  • 7
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    • Laguerre polynomial expansions in indefinite inner product spaces
    • Krall A.M. Laguerre polynomial expansions in indefinite inner product spaces J. Math. Anal. Appl. 70 1979 267-279
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    • Krall, A.M.1
  • 10
    • 0032342635 scopus 로고    scopus 로고
    • Sobolev orthogonal polynomials and second-order differential equations
    • Kwon K.H. Littlejohn L.L. Sobolev orthogonal polynomials and second-order differential equations Rocky Mountain J. Math. 28 2 1998 547-594
    • (1998) Rocky Mountain J. Math. , vol.28 , Issue.2 , pp. 547-594
    • Kwon, K.H.1    Littlejohn, L.L.2
  • 11
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    • A general left-definite theory for certain self-adjoint operators with applications to differential equations
    • Littlejohn L.L. Wellman R. A general left-definite theory for certain self-adjoint operators with applications to differential equations J. Differential Equations 181 2 2002 280-339
    • (2002) J. Differential Equations , vol.181 , Issue.2 , pp. 280-339
    • Littlejohn, L.L.1    Wellman, R.2
  • 12
    • 0003016074 scopus 로고
    • Hardy's inequality with weights
    • Muckenhoupt B. Hardy's inequality with weights Studia Math. T. XLIV 1972 31-38
    • (1972) Studia Math. T. , vol.44 , pp. 31-38
    • Muckenhoupt, B.1
  • 16
    • 0004073954 scopus 로고
    • 3rd Edition, American Mathematical Society, Colloquium Publications, Providence, RI
    • G. Szego, Orthogonal Polynomials, Vol. 23, 3rd Edition, American Mathematical Society, Colloquium Publications, Providence, RI, 1974.
    • (1974) Orthogonal Polynomials , vol.23
    • Szego, G.1
  • 17
    • 0041064889 scopus 로고
    • Osservazioni sopra una classe di disuguaglianze
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    • (1969) Rend. Sem. Mat. Fis. Milano , vol.39 , pp. 171-185
    • Talenti, G.1
  • 18


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.