An Explanation of Mellin's 1921 Paper
Algebraic Geometry
2021-10-04 v1
Abstract
In 1921 Mellin published a Comptes Rendu paper computing the principal root of the polynomial using hypergeometric functions of its coefficients He used an integral transform nowadays bearing his name. Slightly over three pages, the paper is written in French in a terse style befitting the language. Unable to find an elementary explanation on the web or in a texbook, we wrote this expository article to make Mellin's landmark result accessible to interested people who are not experts in hypergeometric functions and complex analysis.
Keywords
Cite
@article{arxiv.2110.00281,
title = {An Explanation of Mellin's 1921 Paper},
author = {Wayne Lawton},
journal= {arXiv preprint arXiv:2110.00281},
year = {2021}
}