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Some factorizations of Ramanujan's cubic continued fraction |
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รหัสดีโอไอ | |
Creator | 1. Saburi Tolulope Rasheed 2. Boonrod Yuttanan |
Title | Some factorizations of Ramanujan's cubic continued fraction |
Publisher | Research and Development Office, Prince of Songkla University |
Publication Year | 2562 |
Journal Title | Songklanakarin Journal of Science and Technology |
Journal Vol. | 41 |
Journal No. | 6 |
Page no. | 1267-1274 |
Keyword | theta function, continued fraction, infinite product |
URL Website | http://rdo.psu.ac.th/sjstweb/index.php |
ISSN | 0125-3395 |
Abstract | We derive new identities involving Ramanujan's cubic continued fraction which are analogous to those of the famousRogers-Ramanujan continued fraction. Using such new identities enables us to give the new proof of several early results of thiscontinued fraction. |