Hello,
What about using the identity (I haven't seen a proof of it yet, but perhaps it is possible by substituting in )
-->
I think you can prove what you want from it (by induction e.g.)
Edit : héhé, I stress the "I think"
Hey All:
I was looking at a Beta function identity in a math physics book I have and
it said to show .
I done that OK. But....how does one prove
?.
I know the various gamma and beta identities, but got a little stuck on
where this comes from.
I know and so forth.
I tried various ways, but failed to get it to come together.
Where is the world do those factorials come from in that beta identity. I am missing something. Probably obvious. Always is.
Hello,
What about using the identity (I haven't seen a proof of it yet, but perhaps it is possible by substituting in )
-->
I think you can prove what you want from it (by induction e.g.)
Edit : héhé, I stress the "I think"
Ok, here is another (and, in my opinion, simpler !) way.
We want to show this :
But we know that (there is a proof of it in wikipedia).
Therefore, we want to prove that
We know that
------------------------------
So if we can prove that , we're done.
(symmetry of beta function).
So
Thanks Moo, I actually just got the same result that way. My rpoblem was, for some reason, I failed to see that
right off the bat. That made all the difference. I knew it was something in front of my nose. Always is.
I am glad to see we jive. Appears to be the best way to go about it. I like all your methods. Good girl.
Regarding your second post, I hadn't thought of it that way. That was a good
observation.