12 citations · 16 across the 3 of their papers we have counts for
5 papers
Discrete Entropy of Generalized Jacobi Polynomials
Andrei Martinez-Finkelshtein, Paul Nevai, Ana Peña
Given a sequence of orthonormal polynomials on ,, with of degree , we define the discrete probability distribution $Ψ_n(x) = \left(Ψ_{n,1}(x), \…
M. Riesz-Schur-type inequalities for entire functions of exponential type
Tamas Erdelyi, Michael I. Ganzburg, Paul Nevai
We prove a general M. Riesz-Schur-type inequality for entire functions of exponential type.
A family of nonlinear difference equations: existence, uniqueness, and asymptotic behavior of positive solutions
Saud M. Alsulami, Paul Nevai, József Szabados +1
We study solutions of nonhomogeneous nonlinear second order difference equations of the type $\ell_n = x_n ( σ_{n,1} x_{n+1} + σ_{n,0} x_n + σ_{n,-1} x_{…
Schur functions and orthogonal polynomials on the unit circle
Feruenc Pinteŕ, Paul G. Nevai
We apply a theorem of Geronimus to derive some new formulas connecting Schur functions with orthogonal polynomials on the unit circle. The applications include the description of t…
Perturbation of orthogonal polynomials on an arc of the unit circle
Leonid B. Golinskii, Paul G. Nevai, Walter Van Assche
Orthogonal polynomials on the unit circle are completely determined by their reflection coefficients through the Szegő recurrences. We assume that the reflection coefficients conve…