On Convergence Sets of Power Series with Holomorphic Coefficients

Basma Al-Shutnawi, Hua Liu, Daowei Ma

We consider convergence sets of formal power series of the form $f(z,t)={\sum }_{n=0}^{\infty }{f}_n(z)t^n$, where $f_n(z)$ are holomorphic functions on a domain $\Omega$ in $\mathbb{C}$. A…