25 citations · 73 across the 15 of their papers we have counts for
7 papers · 1 filter
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…
The root distribution of polynomials with a three-term recurrence
Khang Tran
For any fixed positive integer , we study the root distribution of a sequence of polynomials satisfying the rational generating function \[ \sum_{m=0}^{\infty}H_{m}(z…
Connections between discriminants and the root distribution of polynomials with rational generating function
Khang Tran
Let be a sequence of polynomials whose generating function is the reciprocal of a bivariate polynomial . We show that in the t…
Pair correlation of roots of rational functions with rational generating functions and quadratic denominators
Khang Tran, Alexandru Zaharescu
For any rational functions with complex coefficients and , where , are not identically zero, we consider the sequence of rational functions $H_{m}(z…
Discriminants of Polynomials Related to Chebyshev Polynomials: The 'Mutt and Jeff' Syndrome
Khang Tran
The discriminants of certain polynomials related to Chebyshev polynomials factor into the product of two polynomials, one of which has coefficients that are much larger than the ot…
Discriminants of Chebyshev-like polynomials and their generating functions
Khang Tran
In his paper of 2000, Kenneth B. Stolarsky made various observations and conjectures about discriminants and generating functions of certain types of Chebyshev-like polynomials. We…
Polynomials with rational generating functions and real zeros
Tamas Forgacs, Khang Tran
This paper investigates the location of the zeros of a sequence of polynomials generated by a rational function with a binomial-type denominator. We show that every member of a two…