New curious bilateral q-series identities
By applying a classical method, already employed by Cauchy,
to a terminating curious summation
one of the authors,
a new curious bilateral q-series identity is derived.
We also apply the same method to a quadratic summation
by Gessel and Stanton, and to a cubic summation by Gasper,
respectively, to derive a bilateral quadratic and a bilateral
cubic summation formula.
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