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Volumn 78, Issue 2, 1997, Pages 295-299

A characterization of Hermite polynomials

Author keywords

Hermite polynomials; Spectral type differential equation

Indexed keywords

COMPUTATIONAL METHODS; DIFFERENTIAL EQUATIONS; FUNCTIONS; MATHEMATICAL MODELS;

EID: 0043266579     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(96)00144-6     Document Type: Article
Times cited : (8)

References (9)
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    • Bochner, S.1
  • 2
    • 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
  • 3
    • 84966227705 scopus 로고
    • A new class of orthogonal polynomials: The Bessel polynomials
    • H.L. Krall and O. Frink, A new class of orthogonal polynomials: the Bessel polynomials, Trans. Amer. Math. Soc. 65 (1949) 100-115.
    • (1949) Trans. Amer. Math. Soc. , vol.65 , pp. 100-115
    • Krall, H.L.1    Frink, O.2
  • 4
    • 0003805315 scopus 로고
    • Characterizations of orthogonal polynomials satisfying differential equations
    • K.H. Kwon, L.L. Littlejohn and B.H. Yoo, Characterizations of orthogonal polynomials satisfying differential equations, SIAM J. Math. Anal. 25 (1994) 976-990.
    • (1994) SIAM J. Math. Anal. , vol.25 , pp. 976-990
    • Kwon, K.H.1    Littlejohn, L.L.2    Yoo, B.H.3
  • 5
    • 0030591386 scopus 로고    scopus 로고
    • New characterizations of classical orthogonal polynomials
    • K.H. Kwon, L.L. Littlejohn and B.H. Yoo, New characterizations of classical orthogonal polynomials, Indag. Math., N.S., 7(2) (1996) 199-213.
    • (1996) Indag. Math., N.s. , vol.7 , Issue.2 , pp. 199-213
    • Kwon, K.H.1    Littlejohn, L.L.2    Yoo, B.H.3
  • 6
    • 0000570276 scopus 로고
    • Die charakterisierung der klassischen orthogonalen Polynome durch Sturm-Liouvillesche Differentialgleichungen
    • P. Lesky, Die Charakterisierung der klassischen orthogonalen Polynome durch Sturm-Liouvillesche Differentialgleichungen, Arch. Rat. Mech. Anal. 10 (1962) 341-351.
    • (1962) Arch. Rat. Mech. Anal. , vol.10 , pp. 341-351
    • Lesky, P.1
  • 7
    • 34250277028 scopus 로고
    • On the classification of differential equations having orthogonal polynomial solutions
    • L.L. Littlejohn, On the classification of differential equations having orthogonal polynomial solutions, Ann. Mat. Pura Appl. (4) 138 (1984) 35-53.
    • (1984) Ann. Mat. Pura Appl. , vol.138 , Issue.4 , pp. 35-53
    • Littlejohn, L.L.1
  • 8
    • 0000466857 scopus 로고
    • Prolégomènes à l'étude des polynômes orthonaux semi-classiques
    • P. Maroni, Prolégomènes à l'étude des polynômes orthonaux semi-classiques, Ann. Mat. Pura Appl. 149 (1987) 165-184.
    • (1987) Ann. Mat. Pura Appl. , vol.149 , pp. 165-184
    • Maroni, P.1
  • 9
    • 0000138170 scopus 로고
    • Variations around classical orthogonal polynomials. Connected problems
    • P. Maroni, Variations around classical orthogonal polynomials. Connected problems, J. Comput. Appl. Math. 48 (1993) 133-155.
    • (1993) J. Comput. Appl. Math. , vol.48 , pp. 133-155
    • Maroni, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.