The main object of this paper is to present a family of-series identities which involve some of
the theta functions of Jacobi and Ramanujan. Each of these (presumably new)-series …

The main object of this paper is to present some q-identities involving some of the theta
functions of Jacobi and Ramanujan. These q-identities reveal certain relationships among …

The main object of this paper is to prove three (presumably new) q-series identities, which
involve some of the theta functions of Jacobi and Ramanujan. Each of these q-series …

accepted September 4, 2010 Abstract. As a unified approach, Jacobi's triple product identity
will be utilized to derive theta function formulae due to Baruah–Berndt (2007), identities of …

On series identities arising from Jacobi’s identity of the theta function Page 1 International
Journal of Number Theory Vol. 14, No. 5 (2018) 1317–1327 c© World Scientific Publishing …

Two generalizations of Jacobi’s triple product identity and their applications | The Ramanujan
Journal Skip to main content SpringerLink Account Menu Find a journal Publish with us Track …

Recently MD Hirschhorn [10] has shown that Jacobi's twosquare theorem is an immediate
consequence of a famous identity of Jacobi. Motivated by this, we show how several …

The main object of this paper is to present a family of q-series identities which involve some
of the theta functions of Jacobi and Ramanujan. Each of these (presumably new) q-series …

Previously, we proved an addition formula for the Jacobi theta function, which allows us to
recover many important classical theta function identities. Here, we use this addition formula …

Using a simple classical method we derive bilateral series identities from terminating ones.
In particular, we show how to deduce Ramanujan's 1ψ1 summation from the q-Pfaff …