57 citations · 275 across the 73 of their papers we have counts for
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math.FA2009
Parrametric Poincare-Perron theorem with applications
J. Borcea, S. Friedland, B. Shapiro
We prove a parametric generalization of the classical Poincare-Perron theorem on stabilizing recurrence relations where we assume that the varying coefficients of a recurrence depe…
math.CA2009★ 1 cited
On higher Heine-Stieltjes polynomials
Thomas Holst, Boris Shapiro
Given a differential operator T=\sum_{i=1}^k Q_i(z)d^i/dz^i where each Q_i(z) is a polynomial define r=max_i deg(Q_i(z)-i). Assuming that r is nonnegative we consider the following…