An Explanation of Mellin’s 1921 Paper
| Autor: | W. M. Lawton |
|---|---|
| Jazyk: | English<br />Russian |
| Rok vydání: | 2023 |
| Předmět: | |
| Zdroj: | Известия Иркутского государственного университета: Серия "Математика", Vol 46, Iss 1, Pp 98-109 (2023) |
| Druh dokumentu: | article |
| ISSN: | 1997-7670 2541-8785 |
| DOI: | 10.26516/1997-7670.2023.46.98 |
| Popis: | In 1921 Mellin published a Comptes Rendu paper computing the principal solution of a polynomial using generalized 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. This article makes Mellin’s landmark result accessible to people who are not experts in hypergeometric functions and complex analysis by deriving detailed proofs that were omitted in Mellin’s paper. |
| Databáze: | Directory of Open Access Journals |
| Externí odkaz: |
|