Add to ORKGp. 95-101We present a deformed algebra related to the q-exponential and the q-logarithm functions that emerge from nonextensive statistical mechanics. We also develop a q-derivative (and consistently a q-integral) for which the q-exponential is an eigenfunction. The q-derivative and the q-integral have a dual nature, that is also presented
Contains fulltext : mmubn000001_23209909x.pdf (publisher's version ) (Open Access)...
The theory of q-deformed pseudo-differential operators can be de-fined by means of the q-derivative ...
This paper begins a study of one- and two-variable function space models of irreducible representati...
The nonextensive statistical mechanics proposed by Tsallis is today an intense and growing research ...
Nonextensive statistical mechanics has been a source of investigation in mathematical structures suc...
The Gibbs distribution of statistical physics is an exponential family of probability distributions,...
Background. The new generalization of the function of complex variable (q-function) is considered, ...
Motivated by statistical mechanics contexts, we study the properties of the q-Laplace transform, whi...
p. 8552-8561The Laplace transform is generalized by using the q-exponential function ex q [1 + .1 ...
The Boltzmann–Gibbs (BG) entropy and its associated statistical mechanics were generalized, three de...
In this thesis we explore the concept of q-calculus and its generalisation. We begin by defining q-c...
The idea that a system obeying interpolating statistics can be described by a deformed oscillator al...
International audienceIn the realm of Boltzmann-Gibbs (BG) statistical mechanics and its q-generalis...
In his classic book on group representations and special functions Vilenkin studied the matrix eleme...
This article continues a study of function space models of irreducible representations of q analogs ...
Contains fulltext : mmubn000001_23209909x.pdf (publisher's version ) (Open Access)...
The theory of q-deformed pseudo-differential operators can be de-fined by means of the q-derivative ...
This paper begins a study of one- and two-variable function space models of irreducible representati...
The nonextensive statistical mechanics proposed by Tsallis is today an intense and growing research ...
Nonextensive statistical mechanics has been a source of investigation in mathematical structures suc...
The Gibbs distribution of statistical physics is an exponential family of probability distributions,...
Background. The new generalization of the function of complex variable (q-function) is considered, ...
Motivated by statistical mechanics contexts, we study the properties of the q-Laplace transform, whi...
p. 8552-8561The Laplace transform is generalized by using the q-exponential function ex q [1 + .1 ...
The Boltzmann–Gibbs (BG) entropy and its associated statistical mechanics were generalized, three de...
In this thesis we explore the concept of q-calculus and its generalisation. We begin by defining q-c...
The idea that a system obeying interpolating statistics can be described by a deformed oscillator al...
International audienceIn the realm of Boltzmann-Gibbs (BG) statistical mechanics and its q-generalis...
In his classic book on group representations and special functions Vilenkin studied the matrix eleme...
This article continues a study of function space models of irreducible representations of q analogs ...
Contains fulltext : mmubn000001_23209909x.pdf (publisher's version ) (Open Access)...
The theory of q-deformed pseudo-differential operators can be de-fined by means of the q-derivative ...
This paper begins a study of one- and two-variable function space models of irreducible representati...