A new transformation formula involving two $_8\psi_8$ series and a $_8\phi_7$ series

@inproceedings{Wei2019ANT,
title={A new transformation formula involving two \$_8\psi_8\$ series and a \$_8\phi_7\$ series},
author={Chuanan Wei},
year={2019}
}
In the literature of basic hypergeometric series, Bailey's $_6\psi_6$ series identity is very important. So finding the nontrivial extension of it is a quite significative work. In this paper, we establish, above all, a transformation formula involving two $_8\psi_8$ series and a $_8\phi_7$ series according to the analytic continuation argument. When the parameters are specified, it reduces to Bailey's $_6\psi_6$ series identity and gives two different bilateral generalizations of the… CONTINUE READING

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