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Volumn 84, Issue 2, 1996, Pages 188-196

A Pincherle theorem for matrix continued fractions

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[No Author keywords available]

Indexed keywords


EID: 0030078435     PISSN: 00219045     EISSN: None     Source Type: Journal    
DOI: 10.1006/jath.1996.0015     Document Type: Article
Times cited : (8)

References (14)
  • 1
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    • Ahlbrandt, C.D.1
  • 2
    • 0000964386 scopus 로고
    • Equivalence of discrete Euler equations and discrete Hamiltonian systems
    • 2. C. D. AHLBRANDT, Equivalence of discrete Euler equations and discrete Hamiltonian systems, J. Math. Anal. Appl. 180 (1993), 498-517.
    • (1993) J. Math. Anal. Appl. , vol.180 , pp. 498-517
    • Ahlbrandt, C.D.1
  • 3
    • 38149147290 scopus 로고
    • Dominant and recessive solutions of symmetric three term recurrences
    • 3. C. D. AHLBRANDT, Dominant and recessive solutions of symmetric three term recurrences, J. Differential Equations 107 (1994), 238-258.
    • (1994) J. Differential Equations , vol.107 , pp. 238-258
    • Ahlbrandt, C.D.1
  • 4
    • 85029969362 scopus 로고
    • Geometric, analytic, and arithmetic aspects of symplectic continued fractions
    • T. M. Rassias and H. M. Srivastava, Eds. Hadronic Press, Tarpon Springs, FL
    • 4. C. D. AHLBRANDT, Geometric, analytic, and arithmetic aspects of symplectic continued fractions, in "Analysis, Geometry, and Groups: A Riemann Legacy Volume" (T. M. Rassias and H. M. Srivastava, Eds.), pp. 1-26, Hadronic Press, Tarpon Springs, FL, 1993.
    • (1993) Analysis, Geometry, and Groups: A Riemann Legacy Volume , pp. 1-26
    • Ahlbrandt, C.D.1
  • 5
    • 0002211980 scopus 로고
    • Asymptotics of discrete time Riccati equations, robust control, and discrete linear Hamiltonian systems
    • 5. C. D. AHLBRANDT, M. HEIFETZ, J. W. HOOKER, AND W. T. PATULA, Asymptotics of discrete time Riccati equations, robust control, and discrete linear Hamiltonian systems, Pan American Math. J. 5 (1995), 1-39.
    • (1995) Pan American Math. J. , vol.5 , pp. 1-39
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  • 6
    • 22244453113 scopus 로고
    • Recessive solutions of block tridiagonal non-homogeneous systems
    • 6. C. D. AHLBRANDT AND W. T. PATULA, Recessive solutions of block tridiagonal non-homogeneous systems, J. Difference Equations Appl. 1 (1995), 1-15.
    • (1995) J. Difference Equations Appl. , vol.1 , pp. 1-15
    • Ahlbrandt, C.D.1    Patula, W.T.2
  • 7
    • 0000303245 scopus 로고
    • Noncommutative continued fractions
    • 7. W. FAIR, Noncommutative continued fractions, SIAM J. Math. Anal. 2 (1971), 226-232.
    • (1971) SIAM J. Math. Anal. , vol.2 , pp. 226-232
    • Fair, W.1
  • 8
    • 0011657298 scopus 로고
    • A convergence theorem for noncommutative continued fractions
    • 8. W. FAIR, A convergence theorem for noncommutative continued fractions, J. Approx. Theory 5 (1972), 74-76.
    • (1972) J. Approx. Theory , vol.5 , pp. 74-76
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  • 9
    • 0003297104 scopus 로고
    • Continued fractions: Analytic theory and applications
    • Addison-Wesley, Reading, MA
    • 9. W. B. JONES AND W. J. THRON, "Continued Fractions: Analytic Theory and Applications," in Encyclopedia of Math. and Its Applications, Vol. 11, Addison-Wesley, Reading, MA, 1980.
    • (1980) Encyclopedia of Math. and its Applications , vol.11
    • Jones, W.B.1    Thron, W.J.2
  • 10
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    • Matrizenkettenbrüche
    • Zürich, dissertation 3862, Juris, Zurich
    • 10. P. PFLUGER, "Matrizenkettenbrüche," Dipl. Math. ETH, Zürich, dissertation 3862, Juris, Zurich, 1966.
    • (1966) Dipl. Math. ETH
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  • 11
    • 0000337797 scopus 로고
    • Delle funzioni ipergeometriche e di varie questioni ad esse attinenti
    • especially Capitolo III
    • 11. S. PINCHERLE, Delle funzioni ipergeometriche e di varie questioni ad esse attinenti, Giornale Math. Battaglini 32 (1894), especially Capitolo III, 228-230.
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  • 12
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    • Moebius transformations and continued fractions
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  • 14
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    • The generalized continued fractions and potentials of the Lennard-Jones type
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    • Znojil, M.1


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