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 ...

In a previous paper (Lyness and Moler [1]), several closely related formulas of use for obtaining a derivative of an analytic function numerically are derived. Each of these formulas consists of a ...

Real and complex functions form the backbone of modern mathematical analysis, uniting the study of continuity, differentiability, and integrability on the real line with the rich structure of analytic ...