Terminating balanced $_4\phi _3$-series with two integer parameters
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- by Nadia N. Li and Wenchang Chu PDF
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Abstract:
The linearization method is employed to investigate a class of terminating almost–balanced $_4\phi _3$-series perturbed by two extra integer parameters. Three analytical expressions are established that contain several closed formulae as special cases. By means of a combination with Watson’s transformation, these formulae are utilized, in turn, to evaluate a class of terminating well–poised $_8\phi _7$-series.References
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Additional Information
- Nadia N. Li
- Affiliation: Department of Mathematics, Zhoukou Normal University, Zhoukou 466000, People’s Republic of China
- MR Author ID: 940640
- Email: lina3718@163.com
- Wenchang Chu
- Affiliation: Dipartimento di Matematica e Fisica “Ennio De Giorgi”, Università del Salento, Lecce–Arnesano P. O. Box 193, 73100 Lecce, Italy
- MR Author ID: 213991
- Email: chu.wenchang@unisalento.it
- Received by editor(s): October 31, 2016
- Published electronically: May 24, 2017
- Communicated by: Kathrin Bringmann
- © Copyright 2017 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 145 (2017), 4371-4383
- MSC (2010): Primary 33D15; Secondary 05A30
- DOI: https://doi.org/10.1090/proc/13592
- MathSciNet review: 3690621