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

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.

preprint2013arXivOpen access
Mahouton Norbert HounkonnouSama Arjika
math-phmath.MP
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Mahouton Norbert HounkonnouSama Arjika

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