M. Atakishiyeva

most citedOn factorization of

q

-difference equation for continuous

q

-ultraspherical polynomials

3 citations · 3 across the 1 of their papers we have counts for

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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 $q$ -difference equation for continuous $q$ -ultraspherical polynomials

I. Area, M. K. Atakishiyeva, J. Rodal

We prove that a customary Sturm-Liouville form of second-order $q$ -difference equation for the continuous $q$ -ultraspherical polynomials $C_{n} (x; β ∣ q)$ of Rogers can be written in a…

On a q-extension of Mehta's eigenvectors of the finite Fourier transform for q a root of unity

On factorization of q-difference equation for continuous q-ultraspherical polynomials

On factorization of $q$ -difference equation for continuous $q$ -ultraspherical polynomials