Summation formulae for the bilateral basic hypergeometric series ${}_1{\psi }_1(a;b;q,z)$

Hironori Mori, Takeshi Morita

We give summation formulae for the bilateral basic hypergeometric series ${}_1{\psi }_1(a;b;q,z)$ through Ramanujan's summation formula, which are generalizations of nontrivial iden…