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Physics-Pure

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Hey guys~

I was looking for a way to derive a formula for f

Using the generating function Ʃk≥0 f

The problem looks like the right thumbnail.

Also, it can be found here on page 106: http://www.math.binghamton.edu/sabalka/teaching/09Spring375/Chapter10.pdf

I personally do not understand how using the suggested hint will bring you to a formula for f

I know that one must Recall Cauchy's integral formula to relate the integral to the value of fn.

Also, will the resulting identity simply be Binet's formula? Thanks all,

Physics-Pure

I was looking for a way to derive a formula for f

_{n}(the nth term in the fibonacci sequence). While looking for this, I came across a potential solution using the residue theorem.Using the generating function Ʃk≥0 f

_{n}z^{n}, find the identity for f_{n}.The problem looks like the right thumbnail.

Also, it can be found here on page 106: http://www.math.binghamton.edu/sabalka/teaching/09Spring375/Chapter10.pdf

I personally do not understand how using the suggested hint will bring you to a formula for f

_{n}.I know that one must Recall Cauchy's integral formula to relate the integral to the value of fn.

Also, will the resulting identity simply be Binet's formula? Thanks all,

Physics-Pure

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