Inspired by Rearick's work on logarithm and exponential functions of arithmetic functions, we introduce two new operators, LOG and EXP. The LOG operates on generalized Fibonacci polynomials giving ...

Recent investigations probe the arithmetic properties of these functions, exploring congruence relations and modular behaviour that reveal surprising regularities.

We discuss some new expressions for rational functions for which the Hausdorff distance between the range over a given interval and the interval arithmetic evaluation has the order of the square of ...