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Identities for Analogous Ramanujan’s Functions by Jacobi’s Triple Product Identity

DOI: 10.5923/j.ajms.20120201.06

Keywords: q-Hypergeometric Series, Jacobi’s Triple Product Identity, Theta Functions

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Abstract:

From a continued fraction analogous to Rogers-Ramanujan continued fraction we have theta functions analogous to Ramanujan’s functions G(q) and H(q). We find certain identities for these analogous theta functions using Jacobi’s triple product identity, thus having a unified approach. We also find some modular equations.

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