Zeros of a table of polynomials satisfying a four-term contiguous relation

  • Jack Luong

    University of California, Los Angeles, USA
  • Khang Tran

    California State University, Fresno, USA
Zeros of a table of polynomials satisfying a four-term contiguous relation cover
Download PDF

A subscription is required to access this article.

Abstract

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. 81–91

DOI 10.4171/ZAA/1698