4 citations · 5 across the 3 of their papers we have counts for
3 papers
math.CA2008
An operator approach to multipoint Pade approximations
Maxim S. Derevyagin, Alexei S. Zhedanov
First, an abstract scheme of constructing biorthogonal rational systems related to some interpolation problems is proposed. We also present a modification of the famous step-by-ste…
math.CA2007★ 1 cited
Elliptic polynomials orthogonal on the unit circle with a dense point spectrum
Alexei Zhedanov
We introduce two explicit examples of polynomials orthogonal on the unit circle. Moments and the reflection coefficients are expressed in terms of Jacobi elliptic functions. We fin…
math.CA2007★ 4 cited
Generalized Bochner theorem: characterization of the Askey-Wilson polynomials
Luc Vinet, Alexei Zhedanov
Assume that there is a set of monic polynomials satisfying the second-order difference equation $$ A(s) P_n(z(s+1)) + B(s) P_n(z(s)) + C(s) P_n(z(s-1)) = λ_n P_n(z(s)), n=…