Some New Explicit Values of Quotients of Theta-Function and Applications to Ramanujan's Continued Fractions

Nipen Saikia

Journal of Complex Analysis, 2013, vol. 2013, 1-7

Abstract:

We find some new explicit values of the parameter for positive real numbers and involving Ramanujan's theta-function and give some applications of these new values for the explicit evaluations of Ramanujan's continued fractions. In the process, we also establish two new identities for by using modular equations.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljca:538592

DOI: 10.1155/2013/538592

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