Certain new identities of basic bilateral hypergeometric series. (English) Zbl 07925177
Summary: In the present work, we have applied Cauchy’s method to establish some basic bilateral hypergeometric series identities, using the known identities of terminating unilateral series. We also have discussed some important special cases of our results.
MSC:
| 33D15 | Basic hypergeometric functions in one variable, \({}_r\phi_s\) |
Keywords:
basic hypergeometric series; basic bilateral hypergeometric series; \(q\)-series; summations; transformations; Cauchy’s methodReferences:
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