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Deformed exponentials and logarithms in generalized thermostatistics

Jan Naudts

cond-mat.stat-mecharXiv:cond-mat/0203489

Abstract

Criteria are given that kappa-deformed logarithmic and exponential functions should satisfy. With a pair of such functions one can associate another function, called the deduced logarithmic function. It is shown that generalized thermostatistics can be formulated in terms of kappa-deformed exponential functions together with the associated deduced logarithmic functions.

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