1307.2623 (Mahouton Norbert Hounkonnou et al.)

$(p,q)-$deformed Fibonacci and Lucas polynomials: characterization and
Fourier integral transforms    [PDF]

Mahouton Norbert Hounkonnou, Sama Arjika

A full characterization of $(p,q)$-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.

View original: http://arxiv.org/abs/1307.2623