Khang Tran

collaborators

3 papers

math.CV2024

Entire functions with an arithmetic sequence of exponents

Dallas Ruth, Khang Tran

For a given entire function $f (z) = \sum_{j = 0}^{\infty} a_{j} z^{j}$ , we study the zero distribution of $f_{r} (z) = \sum_{j \equiv r (mod m)} a_{j} z^{j}$ where $m \in N$ and $0\le r<…

math.NT2023

Zeros of Taylor polynomials formed by a three-term recurrence

Juhoon Chung, Khang Tran

From a sequence ${a_{n}}_{n = 0}^{\infty}$ 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…