Euler's constant, sequences and some estimates
We give a class of sequences with the argument of the logarithmic term modified and that converge quickly to a generalization of Euler's constant denoted by γ(a), i.e. the limit of the sequence (∑k=1n1/(a+k-1)-ln((a+n-1)/a)n∈ℕ, where a∈(0,+∞). Also, we obtain estimates for γ-(∑k=1n1/k-ln(n+1/...
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| Format: | Article |
| Language: | English |
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University Constantin Brancusi of Targu-Jiu
2013-12-01
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| Series: | Surveys in Mathematics and its Applications |
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| Online Access: | http://www.utgjiu.ro/math/sma/v08/p09.pdf |