# Supplement to Neuschel's paper "Asymptotics for M\'enage polynomials and certain hypergeometric polynomials of type ${}_3 F_1$"

## TL;DR

This paper extends Neuschel's work on the asymptotic behavior of specific hypergeometric polynomials, focusing on a subfamily along a segment of the previously studied curve.

## Contribution

It provides new asymptotic analysis for a subfamily of ${}_3 F_1$ hypergeometric polynomials on a segment of the closed curve, complementing prior results.

## Key findings

- Asymptotic expansion for the subfamily on the curve segment
- Enhanced understanding of polynomial behavior inside the curve
- Extension of previous asymptotic results

## Abstract

In an article that appeared in Journal of Approximation Theory, Neuschel investigated the asymptotic expansion of certain hypergeometric polynomials of type ${}_3 F_1$ inside and outside a closed curve. We supplement this result by studying a subfamily of those polynomials on a part of the closed curve.