Derivatives of functions are computed using differential calculus. A derivative in calculus is defined as “the rate of change of quantity y with respect to quantity x”. This sounds very similar to the ...

Transactions of the American Mathematical Society, Vol. 263, No. 2 (Feb., 1981), pp. 493-500 (8 pages) Let $\Delta'$ be the class of all derivatives. The main goal of this paper is the investigation ...

Let f be an analytic and univalent function on a simply connected domain D, and let λD be the hyperbolic metric on D. We prove the sharp inequality $\left| {\frac{{{f^n}\left( w \right)}}{{f\left( w ...

Abstract: We introduce a theoretical framework for differentiable surface evolution that allows discrete topology changes through the use of topological derivatives for variational optimization of ...