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math.CV2020
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…
math.CV2020
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…
math.CA2020
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…