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 ...

The characterization of analytic functions defined on a compact set K in R N by their polynomial approximation is possible if and only if K satisfies some "Bernstein type inequality", estimating any ...

An isometric expansion is derived which recaptures any H2 function from a restriction of its boundary function to a Borel set. Journal Information This monthly journal, begun in 1950, is devoted ...