655 citations · 9.2k across the 222 of their papers we have counts for
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Limit distribution in the -CLT for can not have a compact support
Sabir Umarov, Constantino Tsallis
In a recent paper Hilhorst \cite{Hilhorst2010} illustrated that the -Fourier transform for is not invertible in the space of density functions. Using an invariance princip…
Pathway Model and Nonextensive Statistical Mechanics
A. M. Mathai, H. J. Haubold, C. Tsallis
The established technique of eliminating upper or lower parameters in a general hypergeometric series is profitably exploited to create pathways among confluent hypergeometric func…
q-Generalization of the inverse Fourier transform
M. Jauregui, C. Tsallis
A wide class of physical distributions appears to follow the q-Gaussian form, which plays the role of attractor according to a Central Limit Theorem generalized in the presence of…
Time evolution towards q-Gaussian stationary states through unified Ito-Stratonovich stochastic equation
B. Coutinho dos Santos, C. Tsallis
We consider a class of single-particle one-dimensional stochastic equations which include external field, additive and multiplicative noises. We use a parameter which…
New representations of pi and Dirac delta using the nonextensive-statistical-mechanics q-exponential function
M. Jauregui, C. Tsallis
We present a generalization of the representation in plane waves of Dirac delta, , namely $δ(x)=(2-q)/(2π)\int_{-\infty}^\infty e_q^{…
A generalization of the cumulant expansion. Application to a scale-invariant probabilistic model
Antonio Rodriguez, Constantino Tsallis
As well known, cumulant expansion is an alternative way to moment expansion to fully characterize probability distributions provided all the moments exist. If this is not the case,…