- #1
dilberg
- 10
- 0
I would be grateful if someone can help me take this sum.
Evaluate the following sum
1/(n^2-4)^2, the sum goes over all positive integers n= 1,3,4,5...infty except 2.
If it weren't squared I think I can figure it out( I remember my professor telling something about mutliplying by a factor 1/(e^z-1) ). How do I set the problem up? . I 'd appreciate any help you can give.
I have split LHS into partial fractions and I am getting 4terms. It is of the form
A/(n-2)^2 + B/(n+2)^2 +C/(n-2) + D/(n+2). And I know how sum series of type 1/n^2+a^2 using resdiue calculus. Please help.
Thanks
Evaluate the following sum
1/(n^2-4)^2, the sum goes over all positive integers n= 1,3,4,5...infty except 2.
If it weren't squared I think I can figure it out( I remember my professor telling something about mutliplying by a factor 1/(e^z-1) ). How do I set the problem up? . I 'd appreciate any help you can give.
I have split LHS into partial fractions and I am getting 4terms. It is of the form
A/(n-2)^2 + B/(n+2)^2 +C/(n-2) + D/(n+2). And I know how sum series of type 1/n^2+a^2 using resdiue calculus. Please help.
Thanks