The Lambert-Kaniadakis Wκ function

Publication date: Available online 28 November 2019Source: Physics Letters AAuthor(s): J.L.E. da Silva, G.B. da Silva, R.V. RamosAbstractIn the present work, we introduce the Lambert-Kaniadakis Wκ function. It is a generalization of the Lambert W function that solves the equation Wκ(z)expκ⁡(Wκ(z))=z, where expκ⁡(z) is the κ-exponential, a generalization of the exponential function proposed by Kaniadakis. Following, the Wκ function is used in the definition of the κ-disentropy. Analytical results and numerical calculations of Wκ are shown, as well some applications of the κ-disentropy are discussed.

Source: Physics Letters A - November 29, 2019 Category: Physics Source Type: research