Adding a suitable extra point E to P_n(x) produces complete zero interlacing with G_k when the polynomials obey appropriate mixed recurrence relations.
Real roots of hypergeo- metric polynomials via finite free convolution
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Separating zeros of polynomials using an added interlacing point
Adding a suitable extra point E to P_n(x) produces complete zero interlacing with G_k when the polynomials obey appropriate mixed recurrence relations.