An interplay between a generalized-Euler-constant function and the Hurwitz zeta function

作者：Lampret Vito^*

来源：Bulletin of the Belgian Mathematical Society Simon Stevin, 2010, 17(4): 741-747.

• estimate
• generalized-Euler-constant function
• Hurwitz-zeta function

For the generalized-Euler-constant function
a bar right arrow gamma(a) := lim(n ->infinity) (Sigma(n-1)(i=0)1/a+i - ln a+n-1/a)
defined on R(+), the expansion gamma(a) = Sigma(infinity)(j=2) (-1)(j)/j zeta(j, a), where zeta(j, a), is the Hurwitz zeta function, is derived and a formula for its numerical computation is presented.

• 出版日期2010-12