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math.CA2008★ 2 cited
On a q-extension of Mehta's eigenvectors of the finite Fourier transform for q a root of unity
Mesuma K. Atakishiyeva, Natig M. Atakishiyev, Tom H. Koornwinder
It is shown that the continuous q-Hermite polynomials for q a root of unity have simple transformation properties with respect to the classical Fourier transform. This result is th…
math.CA2007★ 3 cited
On factorization of -difference equation for continuous -ultraspherical polynomials
I. Area, M. K. Atakishiyeva, J. Rodal
We prove that a customary Sturm-Liouville form of second-order -difference equation for the continuous -ultraspherical polynomials of Rogers can be written in a…