Autor: |
Lucas, Stephen K., Nimbran, Amrik Singh |
Předmět: |
|
Zdroj: |
Mathematical Gazette; Jul2022, Vol. 106 Issue 566, p300-309, 10p |
Abstrakt: |
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] |
Databáze: |
Complementary Index |
Externí odkaz: |
|