论文标题
单一函数,正常多项式和多项式方程
Monomial functions, normal polynomials and polynomial equations
论文作者
论文摘要
在本文中,我们考虑了广义的单项函数$ f,g \ colon \ mathbb {f} \ to \ mathbb {c} $(可能不同的程度)也满足\ [f(p(x))= q(g(x))= q(g(x)) \ mathbb {f} [x] $和$ q \ in \ mathbb {c} [x] $被(经典)多项式给出。
In this paper we consider generalized monomial functions $f, g\colon \mathbb{F}\to \mathbb{C}$ (of possibly different degree) that also fulfill \[ f(P(x))= Q(g(x)) \qquad \left(x\in \mathbb{F}\right), \] where $P\in \mathbb{F}[x]$ and $Q\in \mathbb{C}[x]$ are given (classical) polynomials.