A Proof that extends hurwitz formula into the critical strip
نویسنده
چکیده
Hurwitz formula for the generalized zeta function zeta (s,a) has been established under condition Re(s) = sigma < 0. Using the same contour integral, the proof proposed ill this paper allows the extension of this formula into the critical strip, 0 = a < 1. A similar result is obtained for the related function (1/Gamma (s)) integral (infinity)(0) x(s-1)(e(ax)/(1 + e(-x)))dx, 0 < a < 1.
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ورودعنوان ژورنال:
- Appl. Math. Lett.
دوره 14 شماره
صفحات -
تاریخ انتشار 2001