On the formation of continued fractions
| dc.creator | Euler, Leonhard | |
| dc.date | 2005-08-12 | |
| dc.date.accessioned | 2026-07-07T05:22:20Z | |
| dc.date.available | 2026-07-07T05:22:20Z | |
| dc.description | In this paper Euler shows how, if we have recursive functions f,g,h and an infinite sequence A,B,C,... which satisfies fA=gB+hC, f'B=g'C+h'D, f''C=g''D+h''E, f'''D=g'''E+h'''F, etc., where the primes denote an index not a derivative, then we can find a continued fraction for fA/B. | |
| dc.description | 17 pages, seems to be first English translation of Euler's Latin original ``De formatione fractionum continuarum'', Acta Academiae Scientarum Imperialis Petropolitinae 3 (1782), no. 1, 3-29. E522 | |
| dc.identifier | https://arxiv.org/abs/math/0508227 | |
| dc.identifier | http://arxiv.org/abs/math/0508227 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/76023 | |
| dc.subject | History and Overview | |
| dc.subject | Number Theory | |
| dc.subject | 01A50; 11A55 | |
| dc.title | On the formation of continued fractions | |
| dc.type | text |