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math.NT2023
Zeros of Taylor polynomials formed by a three-term recurrence
Juhoon Chung, Khang Tran
From a sequence of real numbers satisfying a three-term recurrence, we form a sequence of polynomials $\left\{ P_{m}(z)\right\} _{m=0}^{\inf…
math.CV2023
On the zeros of certain Sheffer sequences and their cognate sequences
Gi-Sang Cheon, Tamás Forgács, Khang Tran
Given a Sheffer sequence of polynomials, we introduce the notion of an associated sequence called the cognate sequence. We study the relationship between the zeros of this pair of…