Quartic theta hypergeometric series |
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| Authors: | Wenchang Chu Cangzhi Jia |
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| Institution: | 1. Dipartimento di Matematica e Fisica “Ennio De Giorgi”, Università del Salento, Lecce–Arnesano, P.O. Box 193, Lecce, 73100, Italy
2. Department of Mathematics, Dalian Maritime University, 116026, Dalian, P.R. China
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| Abstract: | Four classes of quartic theta hypergeometric series are investigated by means of the modified Abel lemma on summation by parts. Several transformations are proved that express the quartic series in terms of well-poised, quadratic and cubic ones. Thirty new summation formulae for terminating quartic theta hypergeometric series are derived consequently. |
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