Analytic functions, also known as holomorphic functions, form the cornerstone of complex analysis, widely studied for their elegant properties and deep connections in both pure and applied mathematics ...

In this paper we treat the problem of finding all the domains in C for which the uniform distance from the function z̄ to the space of analytic functions is equal precisely to (2 area/perimeter). We ...

Bergman spaces, which comprise analytic functions that are square-integrable with respect to a given measure, have been an area of intense study due to their deep connections with complex analysis, ...

We consider the family of analytic functions centered at infinity with Laurent expansion $\mathrm{f}\left(\mathrm{z}\right)=\mathrm{c}\mathrm{z}+{\mathrm{c}}_{0 ...