A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2020; you can also visit the original URL.
The file type is `application/pdf`

.

##
###
On the zeros of Gonchar polynomials

2013
*
Proceedings of the American Mathematical Society
*

We verify two conjectures of Brauchart et al. concerning the zeros of the Gonchar polynomials G(d; z) : In [1] the polynomials were baptized Gonchar polynomials, since they arise from an electrostatics problem on the sphere that was originally posed by A. A. Gonchar. Several interesting algebraic and asymptotic properties of the sequence G(d; z) were proven in [1], and in this note we will verify two conjectures from [1] concerning the location of the zeros of the Gonchar polynomials. Our first

doi:10.1090/s0002-9939-2013-11866-6
fatcat:spggcprzh5f3bgue2hap7cprei