It is known (see [4, Brändén, Lemma 2.7]) that a necessary condition for 𝑇 := Σ 𝑄𝑘(𝑥)𝐷𝑘 to be hyperbolicity preserving is that 𝑄𝑘(𝑥) and 𝑄𝑘−1(𝑥) have interlacing zeros. We characterize all ...
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