see this thread.
http://www.mathhelpforum.com/math-he...ula-88091.html
From follows that .Show that .
Exponentiating by gets, using and , respectively:
1.
2. .
Subtracting 2. from 1.:
.
Integrating both sides from to :
What to do with inside integral, and, is RHS really zero? Assuming everything is OK before that.
: Two leading 's cancel and all other terms in expansion would give
see this thread.
http://www.mathhelpforum.com/math-he...ula-88091.html
Here is a way it can be done without using complex analysis
Define
Note that
Now if
Now use integration by parts with and
This gives
Now using the relationship above we get
Now with
The rest can be proved via induction.