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 ...

The field of functional analysis of symmetric analytic functions explores the interplay between the structure of analytic function algebras and the inherent symmetries dictated by invariance under ...

Earlier D.Đ. Tošić obtained an infinite series representation for the central difference operator ${\delta _\theta }f\left( z \right) = f\left( {z' + \frac{1}{2}h ...

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 ...

Abstract: The question in the title is answered using tools of potential theory. Convergence and divergence rates of interpolants of analytic functions on the unit interval are analysed. The starting ...

Abstract: This note improves on a method for computing analytic derivatives of the likelihood function of a discrete, linear, time invariant Gaussian state-space system and extends it to handle ...