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Volumn 126, Issue 1-2, 2000, Pages 1-31

Differential equations for generalized Jacobi polynomials

Author keywords

[No Author keywords available]

Indexed keywords

INVERSE PROBLEMS; POLYNOMIALS; PROBLEM SOLVING;

EID: 0034510446     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(99)00338-6     Document Type: Article
Times cited : (76)

References (23)
  • 2
    • 0000358316 scopus 로고
    • A direct approach to Koekoek's differential equation for generalized Laguerre polynomials
    • H. Bavinck, A direct approach to Koekoek's differential equation for generalized Laguerre polynomials, Acta Math. Hungarica 66 (1995) 247-253.
    • (1995) Acta Math. Hungarica , vol.66 , pp. 247-253
    • Bavinck, H.1
  • 3
    • 21344446745 scopus 로고    scopus 로고
    • A new result for Laguerre polynomials
    • H. Bavinck, A new result for Laguerre polynomials, J. Phys. A 29 (1996) L277-L279.
    • (1996) J. Phys. A , vol.29
    • Bavinck, H.1
  • 4
    • 0032089442 scopus 로고    scopus 로고
    • Differential and difference operators having orthogonal polynomials with two linear perturbations as eigenfunctions
    • H. Bavinck, Differential and difference operators having orthogonal polynomials with two linear perturbations as eigenfunctions, J. Comput. Appl. Math. 92 (1998) 85-95.
    • (1998) J. Comput. Appl. Math. , vol.92 , pp. 85-95
    • Bavinck, H.1
  • 6
    • 0000149930 scopus 로고
    • On a difference equation for generalizations of Charlier polynomials
    • H. Bavinck, R. Koekoek, On a difference equation for generalizations of Charlier polynomials, J. Approx. Theory 81 (1995) 195-206.
    • (1995) J. Approx. Theory , vol.81 , pp. 195-206
    • Bavinck, H.1    Koekoek, R.2
  • 8
    • 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
  • 9
    • 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
  • 10
    • 0003732344 scopus 로고    scopus 로고
    • Finding differential equations for symmetric generalized ultraspherical polynomials by using inversion methods
    • Leganés, 1996, Universidad Carlos III de Madrid, Leganés
    • J. Koekoek, R. Koekoek, Finding differential equations for symmetric generalized ultraspherical polynomials by using inversion methods, in: Proceedings of the International Workshop on Orthogonal Polynomials in Mathematical Physics, Leganés, 1996, Universidad Carlos III de Madrid, Leganés, 1997, pp. 103-111.
    • (1997) Proceedings of the International Workshop on Orthogonal Polynomials in Mathematical Physics , pp. 103-111
    • Koekoek, J.1    Koekoek, R.2
  • 12
    • 21944455146 scopus 로고    scopus 로고
    • On differential equations for Sobolev-type Laguerre polynomials
    • J. Koekoek, R. Koekoek, H. Bavinck, On differential equations for Sobolev-type Laguerre polynomials, 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
  • 13
    • 0003056965 scopus 로고
    • Differential equations for symmetric generalized ultraspherical polynomials
    • R. Koekoek, Differential equations for symmetric generalized ultraspherical polynomials, Trans. Amer. Math. Soc. 345 (1994) 47-72.
    • (1994) Trans. Amer. Math. Soc. , vol.345 , pp. 47-72
    • Koekoek, R.1
  • 14
    • 0003884388 scopus 로고    scopus 로고
    • Report no. 98-17, Delft University of Technology, Faculty of Technical Mathematics and Informatics, on-line version
    • R. Koekoek, R.F. Swarttouw, The Askey-scheme of hypergeometric orthogonal polynomials and its q-analogue, Report no. 98-17, Delft University of Technology, Faculty of Technical Mathematics and Informatics, 1998. See also the on-line version at: http://aw.twi.tudelft.nl/ ~koekoek/askey/.
    • (1998) The Askey-scheme of Hypergeometric Orthogonal Polynomials and Its q-analogue
    • Koekoek, R.1    Swarttouw, R.F.2
  • 15
    • 0000879648 scopus 로고
    • β + Mδ(x + 1) + Nδ(x - 1)
    • β + Mδ(x + 1) + Nδ(x - 1), Can. Math. Bull. 27 (2) (1984) 205-214.
    • (1984) Can. Math. Bull. , vol.27 , Issue.2 , pp. 205-214
    • Koornwinder, T.H.1
  • 16
    • 84971195130 scopus 로고
    • Orthogonal polynomials satisfying fourth order differential equations
    • A.M. Krall, Orthogonal polynomials satisfying fourth order differential equations, Proc. R. Soc. Edinburgh 87A (1981) 271-288.
    • (1981) Proc. R. Soc. Edinburgh , vol.87 A , pp. 271-288
    • Krall, A.M.1
  • 17
    • 0000181519 scopus 로고
    • Certain differential equations for Tchebycheff polynomials
    • H.L. Krall, Certain differential equations for Tchebycheff polynomials, Duke Math. J. 4 (1938) 705-718.
    • (1938) Duke Math. J. , vol.4 , pp. 705-718
    • Krall, H.L.1
  • 18
    • 0003272555 scopus 로고    scopus 로고
    • On orthogonal polynomials satisfying a certain fourth order differential equation
    • H.L. Krall, On orthogonal polynomials satisfying a certain fourth order differential equation, The Pennsylvania State College Studies, No. 6, 1940.
    • The Pennsylvania State College Studies , vol.6 , pp. 1940
    • Krall, H.L.1
  • 20
    • 0000295908 scopus 로고
    • The Krall polynomials: A new class of orthogonal polynomials
    • L.L. Littlejohn, The Krall polynomials: a new class of orthogonal polynomials, Quaestiones Math. 5 (1982) 255-265.
    • (1982) Quaestiones Math. , vol.5 , pp. 255-265
    • Littlejohn, L.L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.