24 citations · 30 across the 8 of their papers we have counts for
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math.SP2002
On Bochner-Krall orthogonal polynomial systems
T. Bergkvist, H. Rullgard, B. Shapiro
In this paper we address the classical question going back to S. Bochner and H.L. Krall to describe all systems {p_{n}(x)} of orthogonal polynomials (OPS) which are the eigenfuncti…
math.AG2002★ 2 cited
Counting real rational functions with all real critical values
B. Shapiro, A. Vainshtein
We study the number of real rational degree n functions (considered up to linear fractional transformations of the independent variable) with a given set of 2n-2 distinct real crit…