In this paper, we consider a class of rational functions $r(s(z))$ of degree at most $mn$, where $s(z)$ is a polynomial of degree $m$ and obtain a certain sharp compact generalization of well-known inequalities for rational functions.
"Inequalities for complex rational functions." Tbilisi Math. J. 12 (2) 177 - 185, April 2019. https://doi.org/10.32513/tbilisi/1561082576