Series and product representations for some mathematical constants
SourcePeriodica Mathematica Hungarica
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We present several series and product representations for γ, π, and other mathematical constants. One of our results states that, for all real numbers μ s>0, we have γ = ∑k=0∞ 1/(1 + μ)k+1∑m=0k,(m k)} (-1) mμk-m S(m), where S(m) = ∑ k=1 ∞ 1/2 k +m. © 2009 Springer Science+Business Media B.V.