Abel's limit theorem, its converse, and multiplication formulae for Γ(x)
| dc.contributor.author | Holland, Finbarr | |
| dc.date.accessioned | 2022-07-13T13:32:38Z | |
| dc.date.available | 2022-07-13T13:32:38Z | |
| dc.date.issued | 2022 | |
| dc.date.updated | 2022-07-13T13:18:15Z | |
| dc.description.abstract | Abel's well-known limit theorem for power series, and its corrected converse due to J. E. Littlewood, form the basis for a general identity that is presented here, which is shown to be equivalent to Gauss's multiplication theorem for the Gamma function. | en |
| dc.description.status | Peer reviewed | en |
| dc.description.version | Published Version | en |
| dc.format.mimetype | application/pdf | en |
| dc.identifier.citation | Holland, F. (2022) 'Abel's limit theorem, its converse, and multiplication formulae for Γ(x)', Bulletin of the Irish Mathematical Society, 89, pp. 57-64. Available at: https://www.maths.tcd.ie/pub/ims/bull89/wef/Classroom/Holland/Holland-wef.pdf (Accessed: 13 July 2022) | en |
| dc.identifier.endpage | 64 | en |
| dc.identifier.issn | 0791-5578 | |
| dc.identifier.journaltitle | Bulletin of the Irish Mathematical Society | en |
| dc.identifier.startpage | 57 | en |
| dc.identifier.uri | https://hdl.handle.net/10468/13361 | |
| dc.identifier.volume | 89 | en |
| dc.language.iso | en | en |
| dc.publisher | Irish Mathematical Society | en |
| dc.relation.uri | https://www.maths.tcd.ie/pub/ims/bull89/wef/Classroom/Holland/Holland-wef.pdf | |
| dc.rights | © 2022, Irish Mathematical Society. | en |
| dc.subject | Corrected converse | en |
| dc.subject | J. E. Littlewood | en |
| dc.subject | General identity | en |
| dc.subject | Gamma function. | en |
| dc.subject | Abel's limit theorem for power series | en |
| dc.subject | Gauss's multiplication theorem | en |
| dc.subject | ~Mathematical Sciences- Journal Articles~ | en |
| dc.title | Abel's limit theorem, its converse, and multiplication formulae for Γ(x) | en |
| dc.type | Article (peer-reviewed) | en |
