Thursday, July 11, 2013

1307.2623 (Mahouton Norbert Hounkonnou et al.)

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

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.
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