4 citations · 6 across the 6 of their papers we have counts for
6 papers
On the location of ratios of zeros of special trinomials
Alex Samuel Bamunoba, Innocent Ndikubwayo
Given coprime integers with and arbitrary complex polynomials with , we consider the polynomial sequence $\{P_…
Special 5-term recurrence relations, Banded Toeplitz matrices, and Reality of Zeros
Innocent Ndikubwayo
Below we establish the conditions guaranteeing the reality of all the zeros of polynomials in the polynomial sequence satisfying a five-term re…
Non-real zeros of polynomials in a polynomial sequence satisfying a three-term recurrence relation
Innocent Ndikubwayo
This paper discusses the location of zeros of polynomials in a polynomial sequence generated by a three-term recurrence relation of the form $P_n(z)+ B(z)P_{n-1}(z) +A…
Generalizing Tran's Conjecture
Rikard Bögvad, Innocent Ndikubwayo, Boris Shapiro
A conjecture of Khang Tran [6] claims that for an arbitrary pair of polynomials and , every zero of every polynomial in the sequence satisfyi…
Around a Conjecture of K. Tran
Innocent Ndikubwayo
We study the root distribution of a sequence of polynomials with the rational generating function $$ \sum_{n=0}^{\infty} P_n(z)t^n= \frac{1}{1+ B(z)t^\e…
Criterion of reality of zeros in a polynomial sequence satisfying a three-term recurrence relation
Innocent Ndikubwayo
This paper establishes the necessary and sufficient conditions for the reality of all the zeros in a polynomial sequence generated by a three-term recurren…