Submitted by admin on Tue, 03/17/2009 - 4:18pm
Other Series
We define
, where 
are integers > 0.Setting
, then
or
.Its summation notation is
.Multiplying both sides of above equation by 
,
,
.Therefore,
.We thus obtain a remarkable formula that shows the connection to Euler Constant, Sum of Power, and Zeta function.
, where 
. Or
, where A is Glaisher’s constant = 1.28243…- Printer-friendly version
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