I hate Frobenius series, can anyone help

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Please find attached the problem I am having difficulty with its part (b) i need help with.

Cheers,

Dave:cry:
 

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What have you tried so far? I assume that you wrote out the equation in terms of the sum. What is that equation with r= 0?
 
HallsofIvy said:
What have you tried so far? I assume that you wrote out the equation in terms of the sum. What is that equation with r= 0?

Ya its just that it it gets really messy and I am not sure how to manipluate it properly do you, the eqn is what your supposed to get if you solve it with r =0 know any good sources on the internet for solving these things.

Cheers dave
 
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Thread 'Finding the nth roots of a complex number'

There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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