On Fibonacci Z-sequences and their logarithm functions.

In this paper we discuss the concept of a Z-sequence and use it to define the Fibonacci Z-sequence. Based on Z-sequences one may define analogs of logarithm functions. The special case of the logarithm function associated with the Fibonacci Z-sequence is of interest, since the recursive property of this sequence permits a more detailed study of these functions. They are similar to ordinary logarithm functions which may be based on Z-sequences {an}n∈Z, where a > 1. [ABSTRACT FROM AUTHOR]