TITLE:
Expression of Some Special Functions through q-Exponentials of the Nonadditive Statistical Mechanics
AUTHORS:
Leonardo S. Lima
KEYWORDS:
q-Exponential Function, Special Function, Gamma Function
JOURNAL NAME:
Journal of Modern Physics,
Vol.11 No.1,
January
10,
2020
ABSTRACT: Generalized q-exponentials functions are employed to make a generalization of complete and incomplete gamma functions. We obtain a generalization of this class of special functions which are very important in the fields of probability, statistics, statistical physics as well as combinatorics and we derive some of its properties. One gets that the generalized gamma function obtained whether approaches of the standard gamma function for a specific q values such as q=q0≈0.9 value suffering a large variation with the variation of q.