A representation for the logarithmic derivative $(f'/f)$ of an entire function $f$ of finite order, parametrically in terms of some zeros and critical points of $f ...

Let A → Ar be the map that takes a positive definite matrix to its rth power, and let DAr be the Fréchet derivative of this map. It is known that ∥DAr∥ = ∥rAr−1∥ if r ≤ 1 or if r ≥ 2, and also that ...