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 ...

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 ...

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 ...

STEFAN GÜTTEL, GEORGES KLEIN, CONVERGENCE OF LINEAR BARYCENTRIC RATIONAL INTERPOLATION FOR ANALYTIC FUNCTIONS, SIAM Journal on Numerical Analysis, Vol. 50, No. 5 (2012), pp. 2560-2580 ...