Abstract
What happens to the limit regions in Worpitzky’s Theorem and in Parabola Theorems when the element regions are replaced by their boundaries? The present paper gives some answers to such questions.
Keywords
- Element Region
- Half Plane
- Limit Region
- Continue Fraction
- Parabolic Element
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References
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J. D. T. Worpitzky, Untersuchungen über die Entwickelung der monodromen und monogenen Funktionen durch Kettenbrüche, Friedrichs-Gymnasium und Realschule Jahresbericht, Berlin (1865), 3–39.
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© 1989 Springer-Verlag
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Waadeland, H. (1989). Boundary versions of Worpitzky’s Theorem and of parabola theorems. In: Jacobsen, L. (eds) Analytic Theory of Continued Fractions III. Lecture Notes in Mathematics, vol 1406. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0096171
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DOI: https://doi.org/10.1007/BFb0096171
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-51830-3
Online ISBN: 978-3-540-46820-2
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