Some Mysterious-Looking 2F1-Series through the Telescoping Method
- Authors: Li N.N.1, Chu W.1,2
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Affiliations:
- School of Mathematics and Statistics
- Dipartimento di Matematica e Fisica “Ennio De Giorgi”
- Issue: Vol 105, No 5-6 (2019)
- Pages: 720-727
- Section: Article
- URL: https://journal-vniispk.ru/0001-4346/article/view/151737
- DOI: https://doi.org/10.1134/S0001434619050080
- ID: 151737
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Abstract
A general telescoping scheme is devised for evaluating the Gaussian 2F1-series. Three main theorems are proved, which contain several mysterious-looking formulas of Maier (2005) and Ebisu (2013) as special cases.
About the authors
Nadia N. Li
School of Mathematics and Statistics
Author for correspondence.
Email: lina2017@sohu.com
China, Zhoukou (Henan), 466001
Wenchang Chu
School of Mathematics and Statistics; Dipartimento di Matematica e Fisica “Ennio De Giorgi”
Author for correspondence.
Email: chu.wenchang@unisalento.it
China, Zhoukou (Henan), 466001; Lecce, 73100
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