Research Article

On the location of ratios of zeros of special trinomials

Published in: Quaestiones Mathematicae
Volume 48 , issue 12, pages: 1799–1822

DOI: 10.2989/16073606.2025.2547044

Author(s): I. NdikubwayoMakerere University, Uganda, A.S. BamunobaLira University, Uganda,

Keywords: Primary: 12D10, 30C15, Secondary: 26C10, 30C10, Trinomial, null-collinearity, q-discriminant, real-rootedness, reciprocal polynomials,

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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 {P_n (z)} satisfying the three-term recurrence relation

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Research Article

On the location of ratios of zeros of special trinomials

Abstract

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