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Abstract
The purpose of the paper is to give some sequences that converge quickly to a generalized Euler constant, i.e. the limit of the sequence
(1/as+1/(a+1)s+⋯+1/(a+n-1)s-1/(1-s)((a+n-1)1-s-a1-s))n ∈ ℕ,
where a ∈ (0,+∞) and s ∈ (0,1).
Keywords: sequence (11B50); convergence (40A05); approximation (41A60); generalized Euler constant (11Y60); Ioachimescu's constant (11Y60)
Published Online: 2013-01-14
Published in Print: 2012-06
© by Oldenbourg Wissenschaftsverlag, Cluj-Napoca, Germany