On the κ-Deformed Cyclic Functions and the Generalized Fourier Series in the Framework of the κ-Algebra

We explore two possible generalizations of the Euler formula for the complex \(\kappa\)-exponential, which give two different sets of \(\kappa\)-deformed cyclic functions endowed with different analytical properties. In a case, the \(\kappa\)-sine and \(\kappa\)-cosine functions take real values on...

Full description

Bibliographic Details
Main Author: Antonio Maria Scarfone
Format: Article
Language:English
Published: MDPI AG 2015-05-01
Series:Entropy
Subjects:
Online Access:http://www.mdpi.com/1099-4300/17/5/2812