  We give a method to embed the q-series in a (p,q)-series and derive the
corresponding (p,q)-extensions of the known q-identities. The
(p,q)-hypergeometric series, or twin-basic hypergeometric series (diferent from
the usual bibasic hypergeometric series), is based on the concept of twin-basic
number [n]_{p,q} = (p^n - q^n)/(p-q). This twin-basic number occurs in the
theory of two-parameter quantum algebras and has been introduced independently
in combinatorics. The (p,q)-identities thus derived, with doubling of the
number of parameters, offer more choices for manipulations; for example,
results that can be obtained via the limiting process of confluence in the
usual q-series framework can be obtained by simpler substitutions. The
q-results are of course special cases of the (p,q)-results corresponding to
choosing p = 1. This also provides a new look for the q-identities.
