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Volumn 350, Issue 1, 1998, Pages 347-393

On differential equations for sobolev-type laguerre polynomials

Author keywords

Differential equations; Sobolev type Laguerre polynomials

Indexed keywords


EID: 21944455146     PISSN: 00029947     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0002-9947-98-01993-x     Document Type: Article
Times cited : (28)

References (19)
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    • Bavinck, H.1
  • 2
    • 0030607098 scopus 로고    scopus 로고
    • A difference operator of infinite order with Sobolev-type Charlier polynomials as eigenfunctions
    • H. Bavinck : A difference operator of infinite order with Sobolev-type Charlier polynomials as eigenfunctions. Indagationes Mathematicae, (N.S.) 7 (3), 1996, 281-291.
    • (1996) Indagationes Mathematicae, (N.S.) , vol.7 , Issue.3 , pp. 281-291
    • Bavinck, H.1
  • 4
    • 0000149930 scopus 로고
    • On a difference equation for generalizations of Charlier polynomials
    • MR 96h:33002
    • H. Bavinck & R. Koekoek : On a difference equation for generalizations of Charlier polynomials. Journal of Approximation Theory 81, 1995, 195-206. MR 96h:33002
    • (1995) Journal of Approximation Theory , vol.81 , pp. 195-206
    • Bavinck, H.1    Koekoek, R.2
  • 8
    • 0001437854 scopus 로고
    • On a differential equation for Koornwinder's generalized Laguerre polynomials
    • MR 91j:33008
    • J. Koekoek & R. Koekoek : On a differential equation for Koornwinder's generalized Laguerre polynomials. Proceedings of the American Mathematical Society 112, 1991, 1045-1054. MR 91j:33008
    • (1991) Proceedings of the American Mathematical Society , vol.112 , pp. 1045-1054
    • Koekoek, J.1    Koekoek, R.2
  • 11
    • 38249000939 scopus 로고
    • The search for differential equations for certain sets of orthogonal polynomials
    • MR 95m:33008
    • R. Koekoek : The search for differential equations for certain sets of orthogonal polynomials. Journal of Computational and Applied Mathematics 49, 1993, 111-119. MR 95m:33008
    • (1993) Journal of Computational and Applied Mathematics , vol.49 , pp. 111-119
    • Koekoek, R.1
  • 14
    • 84971195130 scopus 로고
    • Orthogonal polynomials satisfying fourth order differential equations
    • MR 82d:33021
    • A.M. Krall : Orthogonal polynomials satisfying fourth order differential equations. Proceedings of the Royal Society of Edinburgh Sect. A 87, 1981, 271-288. MR 82d:33021
    • (1981) Proceedings of the Royal Society of Edinburgh Sect. a , vol.87 , pp. 271-288
    • Krall, A.M.1
  • 15
    • 0000181519 scopus 로고
    • Certain differential equations for Tchebycheff polynomials
    • H.L. Krall : Certain differential equations for Tchebycheff polynomials. Duke Mathematical Journal 4, 1938, 705-718.
    • (1938) Duke Mathematical Journal , vol.4 , pp. 705-718
    • Krall, H.L.1
  • 16
    • 0003272555 scopus 로고
    • On orthogonal polynomials satisfying a certain fourth order differential equation
    • MR 2:98a
    • H.L. Krall : On orthogonal polynomials satisfying a certain fourth order differential equation. The Pennsylvania State College Studies, No. 6, 1940. MR 2:98a
    • (1940) The Pennsylvania State College Studies, No. 6 , vol.6
    • Krall, H.L.1
  • 17
    • 0000924536 scopus 로고
    • Differential equations of infinite order for orthogonal polynomials
    • MR 34:6260
    • H.L. Krall &: I.M. Sheffer : Differential equations of infinite order for orthogonal polynomials. Annali di Matematica Pura ed Applicata (4) 74, 1966, 135-172. MR 34:6260
    • (1966) Annali Di Matematica Pura Ed Applicata (4) , vol.74 , pp. 135-172
    • Krall, H.L.1    Sheffer, I.M.2
  • 19
    • 84933831309 scopus 로고
    • Expansion theorems for the G-function I
    • MR 14:469e
    • C.S. Meijer : Expansion theorems for the G-function I. Indagationes Mathematicae 14,1952, 369-379. MR 14:469e
    • (1952) Indagationes Mathematicae , vol.14 , pp. 369-379
    • Meijer, C.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.