https://doi.org/10.1140/epjp/i2019-13082-4
Regular Article
q-deformed Gamma function, q-deformed probability distributions and q-deformed statistical physics based on Tsallis’s q-exponential function
1
Department of Physics and Research Institute of Natural Science, College of Natural Science, Gyeongsang National University, 660-701, Jinju, Korea
2
Faculty of physics, Shahrood University of Technology, Shahrood, Iran
* e-mail: h.hasanabadi@shahroodut.ac.ir
Received:
1
July
2019
Accepted:
7
August
2019
Published online:
14
November
2019
In this paper we consider a new q-number from the expansion of the q-exponential function appearing in Tsallis’s non-extensive entropy theory. Using this q-number we define the q-Gamma function and use this to discuss some q-deformed distributions and q-deformed statistical physics.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature, 2019