2
votes
0answers
65 views

Is this a field of study?

Is there a name for an equation that takes the following form? $$F(f(x),f^{-1}(x),x)=0$$ A nice example being $$f(x)-f^{-1}(x)=0$$ because the solutions of this equation are their own inverses. ...
2
votes
1answer
105 views

How bad can perturbing a functional equation really make things?

A long time ago, I found occassion to find solutions to a functional equation of the following form $f(x-y) = f(x) - f(y) + \delta $ with $\delta \in \mathbb{R}.$ Using the same exact techniques as ...
3
votes
0answers
210 views

What is known about functions of type $f(n+1) = f(n)^ {f(n)}$?

Update : having looked at Knut's Double Arrow Notation ( Thank you DJC), it seems that this question is nothing more than a frivourless wondering that should be undertaken by whom ever wonders it, it ...
3
votes
0answers
76 views

Function Shape Reference

I'm wondering if their exists a visual/behavioral reference for the fundamental families of functions. I'm not a mathematician so excuse my language if I'm being overly vague. I would like to have a ...