""We study in detail two families of q-Fibonacci polynomials and q-Lucas polynomials, which are defined by non-conventional three-term recurrences. They were recently introduced by Cigler and were then employed by Cigler and Zeng to construct novel q-extensions of classical Hermite polynomials. We show that both of these q-polynomial families exhibit simple transformation properties with respect to the classical Fourier integral transform.""
Atakishiyev, N., Franco, P., Levi, D., Ragnisco, O. (2012). On Fourier integral transforms for q-Fibonacci and q-Lucas polynomials. JOURNAL OF PHYSICS. A, MATHEMATICAL AND THEORETICAL, 45(19), 195206 [10.1088/1751-8113/45/19/195206].
On Fourier integral transforms for q-Fibonacci and q-Lucas polynomials
LEVI, Decio;RAGNISCO, Orlando
2012-01-01
Abstract
""We study in detail two families of q-Fibonacci polynomials and q-Lucas polynomials, which are defined by non-conventional three-term recurrences. They were recently introduced by Cigler and were then employed by Cigler and Zeng to construct novel q-extensions of classical Hermite polynomials. We show that both of these q-polynomial families exhibit simple transformation properties with respect to the classical Fourier integral transform.""I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
