On the 2- and 4-dissections of Ramanujan’s continued fraction and its reciprocal
- First Online:
- Cite this article as:
- Hirschhorn, M.D. Ramanujan J (2011) 24: 85. doi:10.1007/s11139-010-9272-z
We present elementary proofs, using only Jacobi’s triple product identity, of four identities of Ramanujan and eight identities of Hirschhorn relating to the 2-dissection and the 4-dissection of Ramanujan’s continued fraction and its reciprocal, and of two identities from Ramanujan’s famous list of forty.