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- W2385975478 abstract "For the investigation of a mathematical expression of Euler's constant γ,we have further optimized an estimation of a weak boundary of Stieltjes's constant γk=limn→∞ S(k)N=∑Nn=1lnknn-1k+1lnk+1(N+1)(k=0,1,2,…).After that,with regard to Euler's constant γ=limx→0+(∑∞n=11n1+x-1x),we expand the right function of this equation to a power series of x and discuss its consistent convergence detailedly.Final,we have gotten a nwe mathematical expression on Euler constant γ by construting a function: g(x)=∑∞n=1(-1)n-1n1+x,(|x|1,x∈R)." @default.
- W2385975478 created "2016-06-24" @default.
- W2385975478 creator A5038469535 @default.
- W2385975478 date "2010-01-01" @default.
- W2385975478 modified "2023-09-23" @default.
- W2385975478 title "The Weak Boundary of Stieltjes's Constant and It Results in The Mathematical Formula on Euler's Constant" @default.
- W2385975478 hasPublicationYear "2010" @default.
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