Generalization of the Logarithm Function and of the Exponential Function with Arbitrary Base
| dc.creator | Vizcarra, Victor E. | |
| dc.date | 2008-11-03 | |
| dc.date.accessioned | 2026-07-07T10:14:55Z | |
| dc.date.available | 2026-07-07T10:14:55Z | |
| dc.description | The logarithm function and the exponential function are, by nature, base dependent. Thus, in this paper I introduces an arbitrary base in the logarithm and exponential functions, both dependent on $q$, in order to have $\log_a(x;q)$ and $a_q^x$. Some of the properties of these functions had been analyzed. The logarithm function was applied to the entropy which resulted in the $S_q = k[1 - \sum_{i = 1}^Wp_i^{q}]/[1 - e^{1 - q}]$ expression. | |
| dc.description | 4 pages, 3 figures | |
| dc.identifier | https://arxiv.org/abs/0811.0360 | |
| dc.identifier | http://arxiv.org/abs/0811.0360 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/173055 | |
| dc.subject | Classical Analysis and ODEs | |
| dc.title | Generalization of the Logarithm Function and of the Exponential Function with Arbitrary Base | |
| dc.type | text |