I am interested in q-differential equations of the form $p(f(z), f(qz),\dots,f(q^kz))=0$ where $p$ is a polynomial and $k$ an nonnegative integer. I wonder about the closure properties of the class ...
In a recent question, we learned about the existence of functions that do not satisfy any algebraic differential equation. One nice property of such equations is that there is a good way to ...
Motivated by this question, I remembered a question I was curious about sometime which I am sure has some easy and nice example for it as well, which I just can't think of for some reason. I want an ...