13 citations · 21 across the 6 of their papers we have counts for
6 papers
-generalization of Stirling approximation and multinominal coefficients
T. Wada, H. Suyari
Stirling approximation of the factorials and multinominal coefficients are generalized based on the one-parameter () deformed functions introduced by Kaniadakis [Phys. Rev. E \t…
Law of Error in Tsallis Statistics
Hiroki Suyari, Makoto Tsukada
Gauss' law of error is generalized in Tsallis statistics such as multifractal systems, in which Tsallis entropy plays an essential role instead of Shannon entropy. For the generali…
Mathematical structure derived from the q-multinomial coefficient in Tsallis statistics
Hiroki Suyari
We present the conclusive mathematical structure behind Tsallis statistics. We obtain mainly the following five theoretical results: (i) the one-to-one correspondence between the q…
q-Stirling's formula in Tsallis statistics
Hiroki Suyari
We present the q-Stirling's formula using the q-product determined by Tsallis entropy as nonextensive generalization of the usual Stirling's formula. The numerical computations and…
Generalization of Shannon-Khinchin Axioms to Nonextensive Systems and the Uniqueness Theorem
Hiroki Suyari
The Shannon-Khinchin axioms are generalized to nonextensive systems and the uniqueness theorem for the nonextensive entropy is proved rigorously. In the present axioms, Shannon add…
Three classes of nonextensive entropies characterized by Shannon additivity and pseudoadditivity
Hiroki Suyari
Nonextensive entropies are divided into three classes, each of which is characterized by Shannon additivity and pseudoadditivity. One of the three classes has properties of both ad…