I took as an example the Kleene star (third example of the picture) and this is the actual result:
\documentclass{article}
\usepackage{tikz}
\usetikzlibrary{calc}
\usetikzlibrary{arrows}
\usetikzlibrary{arrows,arrows.meta,automata,positioning,quotes}
\begin{document}
\begin{center}
\begin{tikzpicture}[->,shorten >=1pt,auto,node distance=3.5cm, scale = 1,transform shape,accepting/.style={double distance=2pt, outer sep=0.75pt+\pgflinewidth}]
\node[state,initial] (0) {};
\node[state] (1) [right of=0] {};