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 ...

Similarly, in the realm of health sciences, logarithmic charts aid researchers in tracking the exponential spread of pandemics, providing strategic insights for healthcare planning. The versatility of ...

Discover the unique and stable solution to the inverse logarithm problem in holomorphic functions. Explore how fixing a branch of the logarithm ensures well-posedness in simply connected and ...

An architecture for the computation of logarithm, exponential, and powering operations is presented in this paper, based on a high-radix composite algorithm for the computation of the powering ...

The natural exponential function is an important basic arithmetic function with a wide application in many fields such as artificial intelligence. In order to satisfy the demands of high-performance ...

We propose pseudo empirical best linear unbiased estimators of small-area means based on natural exponential family quadratic variance function models when the basic data consist of survey-weighted ...