.................................................. ........................
Hello all:
I seen this summation problem and was wondering what insight the learned on this site have:
Given , show that
I ran this through Maple and got
but how is that derived?. I tried partial sums but hit a wall. It may be easier than I am making it.
Define the functions:
Then the sum in question can be written in terms of , , and .
But:
so:
Which can be written in terms of the hypergeometric functions, but my copy of Abramowitz and Stegun is at work
so I can't check which bits of the formal answer that I have in my note book are valid for the values of and that we need, so that is my lot for the weekend at least.
RonL