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Physics-Pure
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Hey guys~
I was looking for a way to derive a formula for fn (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 fnzn, find the identity for fn.
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 fn.
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 fn (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 fnzn, find the identity for fn.
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 fn.
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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