David, this (and replies thereto) is all very interesting. What led you to consider this particular functional equation? —Dan -----Original Message-----
From: David Wilson <davidwwilson@comcast.net> Sent: Mar 21, 2017 3:01 PM To: 'math-fun' <math-fun@mailman.xmission.com> Subject: [math-fun] Help with some math
Let
f(x)^2 = f(x^2) - 1
and assume f is of the form
f(x) = x + a x^-1 + b x^-3 + c x^-5 + ...
What are the first few coefficients (say 20) as rational numbers?
With the tools I have, it would take me a while to power through this. I assume it would be easier with a symbolic math program.
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