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A quasi-theta product in Ramanujan's lost notebook
Published online by Cambridge University Press: 26 June 2003
Abstract
On page 209 of his lost notebook, Ramanujan records an unusual product formula, reminiscent of a product of theta functions. The formula involves hypergeometric functions and has a connection with elliptic functions. In this paper, we prove the formula, offer some generalizations, and indicate some further connections with Ramanujan's work.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 135 , Issue 1 , July 2003 , pp. 11 - 18
- Copyright
- 2003 Cambridge Philosophical Society
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