The unimodality of a polynomial coming from a rational integral. Back to the original proof

TL;DR

This paper provides an alternative proof for the unimodality of a coefficient sequence derived from evaluating a rational integral, confirming a key property of the sequence.

Contribution

It offers a new proof approach for the unimodality of a specific polynomial coefficient sequence, enhancing understanding of its mathematical properties.

Findings

Confirmed the unimodality of the coefficient sequence

Provided an alternative proof method

Strengthened theoretical understanding of polynomial properties

Abstract

A sequence of coefficients that appeared in the evaluation of a rational integral has been shown to be unimodal. An alternative proof is presented.