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Volumn 106, Issue 1, 1999, Pages 197-202

On a linear perturbation of the Laguerre operator

Author keywords

Differential operator; Laguerre polynomial; Orthogonal polynomial

Indexed keywords

DIFFERENTIAL EQUATIONS; EIGENVALUES AND EIGENFUNCTIONS; PERTURBATION TECHNIQUES; POLYNOMIALS;

EID: 0032653891     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (2)

References (14)
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    • Bavinck, H.1
  • 2
    • 21944457174 scopus 로고    scopus 로고
    • Differential operators having Sobolev type Laguerre polynomials as eigenfunctions
    • H. Bavinck, Differential operators having Sobolev type Laguerre polynomials as eigenfunctions, Proc. Amer. Math. Soc. 125 (1997) 3561-3567.
    • (1997) Proc. Amer. Math. Soc. , vol.125 , pp. 3561-3567
    • Bavinck, H.1
  • 3
    • 0032024579 scopus 로고    scopus 로고
    • On the sum of the coefficients of certain differential operators
    • H. Bavinck, On the sum of the coefficients of certain differential operators, J. Comput. Appl. Math. 89 (1998) 213-217.
    • (1998) J. Comput. Appl. Math. , vol.89 , pp. 213-217
    • Bavinck, H.1
  • 5
    • 0003855616 scopus 로고
    • Orthogonal polynomials and spectral theory: A survey
    • C. Brezinski, L. Gori, A. Ronveaux (Eds.), Orthogonal Polynomials and their Applications, J.C. Baltzer AG, Basel
    • W.N. Everitt, L.L. Littlejohn, Orthogonal polynomials and spectral theory: a survey, in: C. Brezinski, L. Gori, A. Ronveaux (Eds.), Orthogonal Polynomials and their Applications, IMACS Annals on Computing and Applied Mathematics, vol. 9, J.C. Baltzer AG, Basel, 1991, pp. 21-55.
    • (1991) IMACS Annals on Computing and Applied Mathematics , vol.9 , pp. 21-55
    • Everitt, W.N.1    Littlejohn, L.L.2
  • 6
    • 0003910825 scopus 로고
    • The symmetric form of the Koekoeks' Laguerre type differential equation
    • W.N. Everitt, L.L. Littlejohn, R. Wellman, The symmetric form of the Koekoeks' Laguerre type differential equation, J. Comput. Appl. Math. 57 (1995) 115-121.
    • (1995) J. Comput. Appl. Math. , vol.57 , pp. 115-121
    • Everitt, W.N.1    Littlejohn, L.L.2    Wellman, R.3
  • 7
    • 0001437854 scopus 로고
    • On a differential equation for Koornwinder's generalized Laguerre polynomials
    • J. Koekoek, R. Koekoek, On a differential equation for Koornwinder's generalized Laguerre polynomials, Proc. Amer. Math. Soc. 112 (1991) 1045-1054.
    • (1991) Proc. Amer. Math. Soc. , vol.112 , pp. 1045-1054
    • Koekoek, J.1    Koekoek, R.2
  • 8
    • 21944455146 scopus 로고    scopus 로고
    • On differential equations for Sobolev-type Laguerre polynomials
    • TUDelft Fac. Techn. Math. & Inf. Report 95-79
    • J. Koekoek, R. Koekoek, H. Bavinck, On differential equations for Sobolev-type Laguerre polynomials, TUDelft Fac. Techn. Math. & Inf. Report 95-79, Trans. Amer. Math. Soc. 350 (1998) 347-393.
    • (1998) Trans. Amer. Math. Soc. , vol.350 , pp. 347-393
    • Koekoek, J.1    Koekoek, R.2    Bavinck, H.3
  • 9
    • 0001291496 scopus 로고
    • Koornwinder's Laguerre polynomials
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    • (1988) Delft Progress Rep. , vol.12 , pp. 393-403
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  • 11
    • 0000879648 scopus 로고
    • Orthogonal polynomials with weight function (1 - X)α(1 + x)β + Mδ(x + 1) + Nδ(x-1)
    • T.H. Koornwinder, Orthogonal polynomials with weight function (1 - x)α(1 + x)β + Mδ(x + 1) + Nδ(x-1), Canad. Math. Bull. 27 (2) (1984) 205-214.
    • (1984) Canad. Math. Bull. , vol.27 , Issue.2 , pp. 205-214
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  • 12
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  • 14
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    • Littlejohn, L.L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.