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 functi...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.展开更多
基金Supported by Innovation Program of Shanghai Municipal Education Commission and PCSIRT
文摘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.
