A função Wq de Lambert-Tsallis e suas aplicações

Abstract

In the present work, after a brief review of the Lambert W function, the Lambert-Tsallis Wq function is introduced. Basically, the Wq function is a generalization of the W function that solves the equation Wq(z)expq(Wq(z)) = z, where expq(z) is the q-exponential function used by Tsallis in non-extensive statistical mechanics. It is shown that Wq plays for systems described by a power-law, a similar role that the W function plays for systems described by an exponential-law. Examples of Wq functions for different values of q are provided, some properties are described and, at last, applications of Wq in different areas of engineering and physics are discussed.