NAME: M.V. Subbarao

EMAIL: m.v.subbarao@ualberta.ca

ADDRESS: University of Alberta
         Department of Mathematical Sciences
         Edmonton
         AB Canada T6G 2G1

TITLE OF TALK: Remarks on certain product expansions

ABSTRACT OF TALK: We obtain apparently new expansion formulae for
$$
\sum_{n=1}^\infty a^h q^{h(n+1) \prod_{i=1}^{n} 
                                \left(\frac{1 + aq^i}{1 + bq^i}\right)
$$
and
$$
\sum_{n=1}^\infty b^h q^{h(n+1) \prod_{i=1}^{n} 
                                \left(\frac{1 - aq^i}{1 - bq^i}\right)
$$
where $h=1$, $2$, $3$, \dots which generalize earlier results of Eden
and Andrews, Subbarao and Vidyasagar. We also consider some other products
and related conjectures.

 
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