Monotonic series for fractions near π and their convergents.
In: Mathematical Gazette, Jg. 106 (2022-07-01), Heft 566, S. 300-309
Online
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Zugriff:
We describe various methods to derive monotonic infinite series for fractions near π and obtain a variety of series for the special case of its convergents. These series immediately show that π is clearly different from these fractions, replicating with series the results in Dalzell [1, 2] and Lucas that used integrals with non-negative integrands to represent the gaps between π and fractions. [ABSTRACT FROM AUTHOR]
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| Titel: |
Monotonic series for fractions near π and their convergents.
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| Autor/in / Beteiligte Person: | Lucas, Stephen K. ; Nimbran, Amrik Singh |
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| Zeitschrift: | Mathematical Gazette, Jg. 106 (2022-07-01), Heft 566, S. 300-309 |
| Veröffentlichung: | 2022 |
| Medientyp: | academicJournal |
| ISSN: | 0025-5572 (print) |
| DOI: | 10.1017/mag.2022.70 |
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