log-Series and log-Functions as application of multidual analysis

Messelmi, Farid

Hilbert Journal of Mathematical Analysis
Vol. 2 No. 1 (2023): Hilbert J. Math. Anal.

The purpose of this paper is to contribute to the development of the new concept of log-series and log-functions as particular continuation of real power series and real functions in multidual algebra. We will focus for the case of elementary log-functions and we propose some applications to special functions.