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.
| Original language | English |
|---|---|
| Pages (from-to) | 137-146 |
| Number of pages | 10 |
| Journal | Reports on Mathematical Physics |
| Volume | 66 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - Aug 2010 |
| Externally published | Yes |
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Keywords
- Deformation parameter range
- Deformed logarithm/exponential
- Kaniadakis statistics
- Two-parameter deformed functions
ASJC Scopus subject areas
- Mathematical Physics
- Statistical and Nonlinear Physics
Cite this
A completeness criterion for Kaniadakis, Abe and two-parameter generalized statistical theories. / Oikonomou, Thomas; Baris Bagci, G.
In: Reports on Mathematical Physics, Vol. 66, No. 1, 08.2010, p. 137-146.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - A completeness criterion for Kaniadakis, Abe and two-parameter generalized statistical theories
AU - Oikonomou, Thomas
AU - Baris Bagci, G.
PY - 2010/8
Y1 - 2010/8
N2 - 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.
AB - 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.
KW - Deformation parameter range
KW - Deformed logarithm/exponential
KW - Kaniadakis statistics
KW - Two-parameter deformed functions
UR - http://www.scopus.com/inward/record.url?scp=78650921262&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=78650921262&partnerID=8YFLogxK
U2 - 10.1016/S0034-4877(10)80028-X
DO - 10.1016/S0034-4877(10)80028-X
M3 - Article
AN - SCOPUS:78650921262
VL - 66
SP - 137
EP - 146
JO - Reports on Mathematical Physics
JF - Reports on Mathematical Physics
SN - 0034-4877
IS - 1
ER -