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 ...

Analytic functions constitute a cornerstone of complex analysis, being defined on regions where they can be expressed as convergent power series. Of particular interest are starlike functions—those ...

We prove that any sequence in the open ball of a complex Banach space E, even in that of E**, whose norms are an interpolating sequence for $H^{\infty}$ , is ...

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 ...