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New representations for the Lugo and Euler–Mascheroni constants

✍ Scribed by Chao-Ping Chen; H.M. Srivastava

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
240 KB
Volume
24
Category
Article
ISSN
0893-9659

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Inequalities for the Euler–Mascheroni co
Inequalities for the Euler–Mascheroni constant
✍ Chao-Ping Chen 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 278 KB

a b s t r a c t Let γ = 0.577215 . . . be the Euler-Mascheroni constant, and let R n = n k=1 1 2 . This refines the result of D. W. DeTemple, who proved that the double inequality holds with a = 1 and b = 0.