5 papers · 1 filter
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…
Linear combinations of polynomials with three-term recurrence
Khang Tran, Maverick Zhang
We study the zero distribution of the sum of the first polynomials satisfying a three-term recurrence whose coefficients are linear polynomials. We also extend this sum to a li…
Hyperbolic polynomials and linear-type generating functions
Tamás Forgács, Khang Tran
We prove that the polynomials generated by the relation are hyperbolic for given that the zeros o…
Zeros of polynomials with four-term recurrence and linear coefficients
Khang Tran, Andres Zumba
This paper investigates the zero distribution of a sequence of polynomials generated by the reciprocal of wher…
On the zeros of polynomials generated by rational functions with a hyperbolic polynomial type denominator
Tamás Forgács, Khang Tran
This paper investigates the location of the zeros of a sequence of polynomials generated by a rational function with a denominator of the form , where the zeros…