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Partial sums of two quartic \(q\)-series. (English) Zbl 1163.33319

Summary: The partial sums of two quartic basic hypergeometric series are investigated by means of the modified Abel lemma on summation by parts. Several summation and transformation formulae are consequently established.

MSC:

33D15 Basic hypergeometric functions in one variable, \({}_r\phi_s\)
05A15 Exact enumeration problems, generating functions
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