Zeros of a table of polynomials satisfying a four-term contiguous relation
Jack LuongUniversity of California, Los Angeles, USA
Khang TranCalifornia State University, Fresno, USA
For any , we study the zero distribution of a table of polynomials satisfying the recurrence relation
with the initial conditions and for all . We show that the zeros of lie on a curve whose equation is given explicitly in terms of , , and . We also study the zero distribution of a case with a general initial condition.
Cite this article
Jack Luong, Khang Tran, Zeros of a table of polynomials satisfying a four-term contiguous relation. Z. Anal. Anwend. 41 (2022), no. 1/2, pp. 81–91DOI 10.4171/ZAA/1698