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.
Mixed recurrence equations and interlacing properties for zeros of sequences of classicalq-orthogonal polynomials
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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.