We recently provided a criterion of completeness valid for any generalized thermostatistics to check whether they form a bijection from R+/R (set of positive real numbers/all real numbers) to R/R+ in a previous paper. In the current work, we apply this criterion to Kaniadakis, Abe and two-parameter generalized functions and obtain their respective validity ranges.
- Deformation parameter range
- Deformed logarithm/exponential
- Kaniadakis statistics
- Two-parameter deformed functions
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics