SONGKLANAKARIN JOURNAL OF SCIENCE & TECHNOLOGY

Volume 41, No. 06, Month NOVEMBER, Year 2019, Pages 1267 - 1274

Some factorizations of ramanujan’s cubic continued fraction

Saburi Tolulope Rasheed and Boonrod Yuttanan

Abstract Download PDF

We derive new identities involving Ramanujan’s cubic continued fraction which are analogous to those of the famous Rogers-Ramanujan continued fraction. Using such new identities enables us to give the new proof of several early results of this continued fraction.

Keywords

theta function, continued fraction, infinite product

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