Ask ordinary software developers how to code an exponential function (that is, e x) and most will tell you to simply write an expression in their favorite high level language. But a significant slice ...

In this paper we derive the explicit, closed-form, recursion-free formulae for the arbitrary-order Fréchet derivatives of the exponential and logarithmic functions in unital Banach algebras (complex ...

We present a family of nonstationary interpolatory subdivision schemes which reproduces high-order exponential polynomials. First, by extending the classical D-D interpolatory schemes, we present the ...