TY - JOUR
T1 - A completeness criterion for Kaniadakis, Abe and two-parameter generalized statistical theories
AU - Oikonomou, Thomas
AU - Baris Bagci, G.
N1 - Funding Information:
We thank E. M. F. Curado, C. Tsallis, R.S. Wedemann, L. Lacasa, and U. Tirnakli. GBB was supported by TUBITAK (Turkish Agency) under the Research Project number 108T013 and by Faculty of Science at Ege University under the project number 2009Fen076.
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
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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 -