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2020-05-10 21:20:08 +0200 | commented answer | Self composition of a function with symbolic variable Ahh, my mistake was that I was also declaring z as a variable. Why don't I need to do this? Does sage "know" that this is over the complex field? |

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2020-05-10 21:14:19 +0200 | asked a question | Self composition of a function with symbolic variable I have a function in one variable with a placeholder variable, and would like to find the nth iterate. For example, using: $f(z) = z^3 + a z^2$, a function in variable $z$ with placeholder coefficient $a$. then I would like to see $f(f(z)) = (z^3 + az^2)^3 + a(z^3 + az^2)^2$ However I am struggling to perform this in Sage.
How can we self compose functions with a placeholder variable for a coefficient? |

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