New properties for ramanujan's continued rractions
| dc.contributor.advisor | Boonrod Yuttanan | |
| dc.contributor.author | Rasheed, Saburi Tolulope | |
| dc.contributor.department | Faculty of Science (Mathemetics and Statistics) | |
| dc.contributor.department | คณะวิทยาศาสตร์ ภาควิชาคณิตศาสตร์และสถิติ | |
| dc.date.accessioned | 2019-12-17T03:49:39Z | |
| dc.date.available | 2019-12-17T03:49:39Z | |
| dc.date.issued | 2018 | |
| dc.description | Thesis (M.Sc., Mathematics)--Prince of Songkla University, 2018 | en_US |
| dc.description.abstract | Ramanujan was able to find the factorisation theorem for those two im- portant identities about the Rogers-Ramanujan continued fraction, resulting into new identities. In his notebook, he also wrote the 2- and 5-dissections of the Rogers- Ramanujan continued fraction and its reciprocal. In this thesis, we factorise some identities about Ramanujan's cubic continued fraction analogously to those of the famous Rogers-Ramanujan continued fraction, following the lead of Ramanujan. As applications, we established as corol- laries the early works on Ramanujan's cubic continued fractions. Moreover, we also recorded several new results for Ramanujan's cubic continued fraction and provided a 3-dissection property for (q; q)(q2; q2). Lastly, we proved the 2-dissection of the Göllnitz-Gordon functions. | |
| dc.identifier.uri | http://kb.psu.ac.th/psukb/handle/2016/12477 | |
| dc.language.iso | en | en_US |
| dc.publisher | Prince of Songkla University | en_US |
| dc.subject | Continued fractions | en_US |
| dc.title | New properties for ramanujan's continued rractions | en_US |
| dc.type | Thesis | en_US |