Some properties of q-logarithm and q-exponential functions in Tsallis statistics

We present some formulae which q-logarithmic and q-exponential functions introduced in Tsallis statistics satisfy. Exact expression of the Mellin transform of q-exponential function is given. Moreover, the q-generalization of the digamma function is presented.

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Year of publication:	2002
Authors:	Yamano, Takuya
Published in:	Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 305.2002, 3, p. 486-496
Publisher:	Elsevier
Subject:	Tsallis statistics

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10010589516