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Volumn 68, Issue 1-2, 1996, Pages 103-114

The q-version of a theorem of Bochner

Author keywords

Askey Wilson polynomials; Bispectral property

Indexed keywords

COMPUTATIONAL GEOMETRY; MATHEMATICAL OPERATORS; MATHEMATICAL TRANSFORMATIONS; NUMERICAL METHODS; POLYNOMIALS;

EID: 0030123668     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/0377-0427(95)00262-6     Document Type: Article
Times cited : (51)

References (14)
  • 1
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    • Classical orthogonal polynomials
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    • G.E. Andrews and R. Askey, Classical orthogonal polynomials, in: C. Brezinski et al., Eds., Polynômes Orthogonaux et Applications, Lecture Notes in Math. 1171 (Springer, New York, 1985) 36-62.
    • (1985) Lecture Notes in Math. , vol.1171 , pp. 36-62
    • Andrews, G.E.1    Askey, R.2
  • 2
    • 0001308382 scopus 로고
    • Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials
    • R. Askey and J. Wilson, Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials, Mem. Amer. Math. Soc. 319 (1985).
    • (1985) Mem. Amer. Math. Soc. , vol.319
    • Askey, R.1    Wilson, J.2
  • 3
    • 0000032737 scopus 로고
    • Über sturm-Liouvillesche polynomsysteme
    • S. Bochner, Über Sturm-Liouvillesche Polynomsysteme, Math. Z. 29 (1929) 730-736.
    • (1929) Math. Z. , vol.29 , pp. 730-736
    • Bochner, S.1
  • 4
    • 0001575148 scopus 로고
    • Differential equations in the spectral parameter
    • J.J. Duistermaat and F.A. Grünbaum, Differential equations in the spectral parameter, Commun. Math. Phys. 103 (1986) 177-240.
    • (1986) Commun. Math. Phys. , vol.103 , pp. 177-240
    • Duistermaat, J.J.1    Grünbaum, F.A.2
  • 5
    • 0003866733 scopus 로고    scopus 로고
    • Orthogonal polynomials satisfying differential equations: The role of the Darboux transformation
    • D. Levi and P. Winternitz, Eds., Symmetries and Integrability of Differences Equations, (AMS, Providence, RI) to appear
    • F.A. Grünbaum and L. Haine, Orthogonal polynomials satisfying differential equations: The role of the Darboux transformation, in: D. Levi and P. Winternitz, Eds., Symmetries and Integrability of Differences Equations, CRM Proceedings and Lecture Notes 9 (AMS, Providence, RI) to appear.
    • CRM Proceedings and Lecture Notes , vol.9
    • Grünbaum, F.A.1    Haine, L.2
  • 6
    • 4243445246 scopus 로고    scopus 로고
    • A theorem of bochner, revisited
    • I.M. Gel'fand and T. Fokas, Eds., to appear
    • F.A. Grünbaum and L. Haine, A theorem of Bochner, revisited, in: I.M. Gel'fand and T. Fokas, Eds., Volume in Honor of I. Dorfman, to appear.
    • Volume in Honor of I. Dorfman
    • Grünbaum, F.A.1    Haine, L.2
  • 8
    • 0003124908 scopus 로고
    • Über orthogonal polynome, die q-Differenzengleichungen genügen
    • W. Hahn, Über Orthogonal polynome, die q-Differenzengleichungen genügen, Math. Nachr. 2 (1949) 4-34.
    • (1949) Math. Nachr. , vol.2 , pp. 4-34
    • Hahn, W.1
  • 10
    • 0001939979 scopus 로고
    • Compact quantum groups and q-special functions
    • V. Baldoni and M.A. Picardello, Eds., Representations of Lie Groups and Quantum Groups, Longman Scientific and Technical
    • T.H. Koornwinder, Compact quantum groups and q-special functions, in: V. Baldoni and M.A. Picardello, Eds., Representations of Lie Groups and Quantum Groups, Pitman Research Notes in Math. Series 311 (Longman Scientific and Technical, 1994) 46-128.
    • (1994) Pitman Research Notes in Math. Series , vol.311 , pp. 46-128
    • Koornwinder, T.H.1
  • 12
    • 0001282924 scopus 로고
    • Orthogonal polynomials, duality and association schemes
    • D. Leonard, Orthogonal polynomials, duality and association schemes, SIAM J. Math. Anal. 13 (1982) 656-663.
    • (1982) SIAM J. Math. Anal. , vol.13 , pp. 656-663
    • Leonard, D.1
  • 13
    • 0004548025 scopus 로고
    • Associated Askey-Wilson polynomials as Laguerre-Hahn orthogonal polynomials
    • M. Alfaro et al., Eds., Orthogonal Polynomials and their Applications, Springer, Berlin
    • A. Magnus, Associated Askey-Wilson polynomials as Laguerre-Hahn orthogonal polynomials, in: M. Alfaro et al., Eds., Orthogonal Polynomials and their Applications, Lecture Notes in Math. 1329 (Springer, Berlin, 1988) 261-278.
    • (1988) Lecture Notes in Math. , vol.1329 , pp. 261-278
    • Magnus, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.