Yang, Xiao Mei, The products of three theta functions and the general cubic theta functions, Acta mathematica Sinica. English series (Print) , 26(6), 2010, pp. 1115-1124
In this paper we establish two theta function identities with four parameters by the theory of theta functions. Using these identities we introduce common generalizations of Hirschhorn-Garvan-Borwein cubic theta functions, and also re-derive the quintuple product identity, one of Ramanujan.s identities, Winquist.s identity and many other interesting identities.