메뉴 건너뛰기




Volumn 133, Issue 1-2, 2001, Pages 85-109

Orthogonal polynomial solutions of linear ordinary differential equations

Author keywords

Differential equations; Eigenfunctions; Hilbert spaces; Orthogonal polynomials; Self adjoint operators; Sobolev spaces

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; POLYNOMIALS;

EID: 0035418246     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(00)00636-1     Document Type: Article
Times cited : (58)

References (101)
  • 7
    • 0000358316 scopus 로고
    • A direct approach to Koekoek's differential equation for generalized Laguerre polynomials
    • (1995) Acta Math. Hungar , vol.66 , pp. 247-253
    • Bavinck, H.1
  • 9
    • 0031550481 scopus 로고    scopus 로고
    • Linear perturbations of differential or difference operators with polynomials as eigenfunctions
    • 83 (1997) 145-146
    • (1997) J. Comput. Appl. Math , vol.78 , pp. 179-195
    • Bavinck, H.1
  • 10
    • 0032089442 scopus 로고    scopus 로고
    • Differential and difference operators having orthogonal polynomials with two linear perturbations as eigenfunctions
    • (1998) J. Comput. Appl. Math , vol.92 , pp. 85-95
    • Bavinck, H.1
  • 14
    • 0035418171 scopus 로고    scopus 로고
    • Differential operators having Sobolev type Laguerre polynomials as eigenfunctions: New developments
    • this issue
    • (2001) J. Comput. Appl. Math , vol.133 , pp. 183-193
    • Bavinck, H.1
  • 18
    • 0000032737 scopus 로고
    • Über Sturm-Liouvillesche polynomsysteme
    • (1929) Math. Z , vol.89 , pp. 730-736
    • Bochner, S.1
  • 35
    • 0032207973 scopus 로고    scopus 로고
    • Variations on a theme of Heine and Stieltjes: An electrostatic interpretation of the zeros of certain polynomials
    • (1998) J. Comput. Appl. Math , vol.99 , pp. 189-194
    • Grünbaum, F.A.1
  • 41
    • 0001372628 scopus 로고
    • Über die Jacobischen Polynome und zwei verwandte Polynomklassen
    • (1935) Math. Z , vol.39 , pp. 634-638
    • Hahn, W.1
  • 61
    • 0000181519 scopus 로고
    • Certain differential equations for Tchebycheff polynomials
    • (1938) Duke Math. J , vol.4 , pp. 705-718
    • Krall, H.L.1
  • 74
    • 0000570276 scopus 로고
    • Die Charakterisierung der klassischen orthogonalen Polynome durch Sturm-Liouvillesche Differentialgleichungen
    • (1962) Arch. Rational Mech. Anal , vol.10 , pp. 341-352
    • Lesky, P.1
  • 83
    • 0002170299 scopus 로고    scopus 로고
    • A short history of orthogonal polynomials in a Sobolev space I. The non-discrete case
    • (1996) Niew Arch. Wisk , vol.14 , pp. 93-113
    • Meijer, H.1
  • 93
    • 0010998125 scopus 로고
    • Über die angenäherte Berechnung der bestimmten Integrale und über die dabei verkommenden ganzenFunktionen
    • in Russian
    • (1887) Warsaw Univ. Izv , vol.18 , pp. 282
    • Sonine, N.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.