Abstract
Given real numbers , we form the sequence of polynomials satisfying the four-term recurrence
with the initial conditions and . We find necessary and sufficient conditions on and under which the zeros of are real for all , and provide an explicit real interval on which is dense, where is the set of zeros of .
Citation
Khang Tran. Andres Zumba. "Zeros of polynomials with four-term recurrence." Involve 11 (3) 501 - 518, 2018. https://doi.org/10.2140/involve.2018.11.501
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