Using a well known property of the gamma function, write .
By Induction prove
Recall
I know proof by induction is something to do with putting a +1 by the n's however i am fairly clueless as to this example. Thanks.
ps: the dots between 1.3.5 represent multiplying 1 3 and 5. and the dots after are meant to symbolise a series continuing. i'm also a bit confused as to what that series is... 1, 3, 5 perhaps it's just a difference of two each time?
Using the basic property of the Gamma Function...
(1)
... and setting You arrive to write the difference equation...
(2)
As explained in...
http://www.mathhelpforum.com/math-he...-i-188482.html
... the solution of (2) is...
(3)
Kind regards