Abstract

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.

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