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 ...

Proceedings of the American Mathematical Society, Vol. 39, No. 1 (Jun., 1973), pp. 110-116 (7 pages) It is shown that two classes of function transformations coincide when the transformations take ...

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 ...