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Zeros of a certain class of Gauss hypergeometric polynomials

Addisalem AbathunRikard Bøgvad — 2018

Czechoslovak Mathematical Journal

We prove that as n , the zeros of the polynomial 2 F 1 - n , α n + 1 α n + 2 ; z cluster on (a part of) a level curve of an explicit harmonic function. This generalizes previous results of Boggs, Driver, Duren et al. (1999–2001) to the case of a complex parameter α and partially proves a conjecture made by the authors in an earlier work.

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