Sunday, April 10, 2011

Bernoulli-Zeta functions

BZ.ID.1: Bernoulli-Zeta relation
 

Proof

 
(1)
based on the following identity

(2)
substituting (2) into (1)


(3)

(4)

derivative of constant , which is 1, equals = 0
(5)
 

(6)
 
(7)

(8)

if=k=2k

if n=k+1





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