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 ...

THE publication of these tables helps to mark a change in the use of logarithms, both for teaching and practical purposes. Nowadays most teachers use four-figure tables for teaching purposes, even in ...

The normal, Poisson, gamma, binomial, and negative binomial distributions are univariate natural exponential families with quadratic variance functions (the variance is at most a quadratic function of ...