]> $$f\left(z\right)=z^{\frac{2}{3}}\left(1+\frac{5}{48z^2}-\frac{5}{36z^4}+\frac{77125}{82944z^6}-\frac{108056875}{6967296z^8}+\frac{162375596875}{334430208z^{10}}\right)$$