Research Article

On the location of ratios of zeros of special trinomials


Abstract

Given coprime integers k, ℓ with k > ℓ ⩾ 1, and arbitrary complex polynomials A(z) and B(z) such that deg(A(z)B(z)) ⩾ 1, we consider the polynomial sequence {Pn (z)} satisfying the three-term recurrence relation

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