This article considers the Euler-Mascheroni constant () as the limit of a continuous function. Graphs of the function shed light on some familiar approximations to , and lead to a family of sequences which converge to . It is shown that this family is an extension of convergent sequences suggested by Mortici.
A Family of Sequences which Converge to the Euler-Mascheroni Constant
Harris, Ian R.
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carpathian_2024_40_1_37_45
Issue no: Vol 40/2024 no. 1
Tags: Euler's Constant, Approximation
Additional Information
Author(s) | Harris, Ian R. |
---|---|
DOI | https://doi.org/10.37193/CJM.2024.01.04 |
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Authors
Abbas, Mujahid
Acu, Dumitru
Balaj, Mircea
Berinde, Mădălina
Berinde, Vasile
Bărbosu, Dan
Chidume, C. E.
Cho, Yeol Je
Choban, Mitrofan M.
Coroian, Iulian
Cosma, Ovidiu
Cristescu, Gabriela
Diudea, Mircea V.
Fukhar-ud-din, Hafiz
Gaidici, A.
Horvat-Marc, Andrei
Ioanoviciu, Aurel
Khan, Abdul Rahim
Kozma, Lidia Elena
Kumam, Poom
Lungu, Nicolaie
Marin, Marin
Megan, Mihail
Mortici, Cristinel
Mureșan, Anton S.
Mureșan, Viorica
Pişcoran, Laurian-Ioan
Pop, Adina
Pop, Maria Sânziana
Pop, Nicolae
Pop, Ovidiu T.
Pop, Petrică Claudiu
Pop, Vasile
Popa, Dorian
Popa, Valeriu
Pop Sitar, Corina
Păcurar, Mădălina
Păvăloiu, Ion
Rus, Ioan A.
Rusu, Cristian
Sass, Istvan Huba Attila
Suantai, Suthep
Tașcu, Ioana
Yao, Jen-Chih
Zelina, Ioana
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