Waste less time on Facebook — follow Brilliant.
×

Prove it!

\[ \displaystyle\sum _{ n=1 }^{ \infty }{ \frac { \zeta (2n,x) }{ 4^{ n }(2n^{ 2 }+n) } } =(2x-1)\ln { (x-\frac { 1 }{ 2 }) } -2x+1+\ln { 2\pi } -2\ln { \Gamma (x) } \]

Prove the equation above, where \(\zeta(s,x)\) denotes the Hurwitz zeta function

Note by Hummus A
9 months, 1 week ago

No vote yet
1 vote

Comments

Sort by:

Top Newest

-1/2 +1 what is that check your question... Again :/ Aman Rajput · 9 months, 1 week ago

Log in to reply

@Aman Rajput the 1/2 is supposed to be inside the ln,sorry for the confusion :) Hummus A · 9 months, 1 week ago

Log in to reply

×

Problem Loading...

Note Loading...

Set Loading...