27 citations · 151 across the 20 of their papers we have counts for
20 papers
On the eigenvectors of the 5D discrete Fourier transform number operator in Newtonian basis
Natig Atakishiyev
A simple analytic approach to the evaluation of the eigenvalues and eigenvectors f_n of the 5D discrete number operator N_5 is formulated. This approach is essentially based on the…
The eigenvalues and eigenvectors of the 5D discrete Fourier transform number operator revisited
Natig Atakishiyev
A systematic analytic approach to the evaluation of the eigenvalues and eigenvectors of the 5D discrete number operator is formulated. This approach is essentially based on the use…
An algebraic interpretation of the intertwining operators associated with the discrete Fourier transform
Mesuma Atakishiyeva, Natig Atakishiyev, Alexei Zhedanov
We show that intertwining operators for the discrete Fourier transform form a cubic algebra with a root of unity. This algebra is intimately related to the two…
Interbasis expansions in the Zernike system
Natig M. Atakishiyev, George S. Pogosyan, Kurt Bernardo Wolf +1
The differential equation with free boundary conditions on the unit disk that was proposed by Frits Zernike in 1934 to find Jacobi polynomial solutions (indicated as I), serves to…
Linear partial -difference equations on -linear lattices and their bivariate -orthogonal polynomial solutions
I. Area, N. Atakishiyev, E. Godoy +1
Orthogonal polynomial solutions of an admissible potentially self-adjoint linear second-order partial -difference equation of the hypergeometric type in two variables on -lin…
On Fourier integral transforms for -Fibonacci and -Lucas polynomials
Natig Atakishiyev, Pedro Franco, Decio Levi +1
We study in detail two families of -Fibonacci polynomials and -Lucas polynomials, which are defined by non-conventional three-term recurrences. They were recently introduced…