2 problems

Let $m$ be a positive integer, let $g$ be a function satisfying suitable growth conditions, and define polynomials by … For a function $g$, write…

Let $H(\delta)=\{z\in\mathbb{C}\mid\operatorname{Re}(z)\ge -\delta\}$ for some $0<\delta<1$. Define polynomials by $P_1(x)=1$, $P_2(x)=x$, and … for $m>2$. Let $g(z)$ be analytic o…