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 ...
Let { α k } k=1 ∞ be an arbitrary sequence of complex numbers in the upper half plane. We generalize the orthogonal rational functions 𝜙𝑛 based upon those points and obtain the Nevanlinna measure, ...
We give a numerical criterion for a badly conditioned zero of a system of analytic equations to be part of a cluster of two zeros. Journal Information This journal, begun in 1943 as Mathematical ...