$(p,q)-$deformed Fibonacci and Lucas polynomials: characterization and Fourier integral transforms
Mathematical Physics
2013-07-11 v1 math.MP
Abstract
A full characterization of -deformed Fibonacci and Lucas polynomials is given. These polynomials obey non-conventional three-term recursion relations. Their generating functions and Fourier integral transforms are explicitly computed and discussed. Relevant results known in the literature are examined as particular cases.
Keywords
Cite
@article{arxiv.1307.2623,
title = {$(p,q)-$deformed Fibonacci and Lucas polynomials: characterization and Fourier integral transforms},
author = {Mahouton Norbert Hounkonnou and Sama Arjika},
journal= {arXiv preprint arXiv:1307.2623},
year = {2013}
}