q-deformed Gamma function, q-deformed probability distributions and q-deformed statistical physics based on Tsallis's q-exponential function

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7

초록

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.

키워드

GIBBS FREE-ENERGY; THERMODYNAMIC PROPERTIES; HARMONIC-OSCILLATOR; Q-ANALOGS; ALGEBRA
제목
q-deformed Gamma function, q-deformed probability distributions and q-deformed statistical physics based on Tsallis's q-exponential function
저자
Kim, Seohyeon; Chung, Won Sang; Hassanabadi, Hassan
DOI
10.1140/epjp/i2019-13082-4
발행일
2019-11
유형
Article
저널명
European Physical Journal Plus
권
134
호
11