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Matematicheskie Zametki, 2019, Volume 105, Issue 5, paper published in the English version journal (Mi mzm12480)  
Papers published in the English version of the journal

Some Mysterious-Looking $_2F_1$-Series through the Telescoping Method

Nadia N. Lia, Wenchang Chuab

a School of Mathematics and Statistics, Zhoukou Normal University, Zhoukou (Henan), 466001 P. R. China
b Dipartimento di Matematica e Fisica "Ennio De Giorgi", Università del Salento, Lecce, 73100 Italy
Abstract: A general telescoping scheme is devised for evaluating the Gaussian $_2F_1$-series. Three main theorems are proved, which contain several mysterious-looking formulas of Maier (2005) and Ebisu (2013) as special cases.
Keywords: hypergeometric series, telescoping method, well-poised $_5F_4$-series.
Funding agency Grant number
National Natural Science Foundation of China 11601543
The work of the first author was supported in part by the National Science Foundation of China under Youth Grant no. 11601543.
Received: 21.11.2018
English version:
Mathematical Notes, 2019, Volume 105, Issue 5, Pages 720–727
DOI: https://doi.org/10.1134/S0001434619050080
Bibliographic databases:
Document Type: Article
Language: English
Citation: Nadia N. Li, Wenchang Chu, “Some Mysterious-Looking $_2F_1$-Series through the Telescoping Method”, Math. Notes, 105:5 (2019), 720–727
Citation in format AMSBIB
\Bibitem{NadChu19}
\by Nadia N. Li, Wenchang Chu
\paper Some Mysterious-Looking
$_2F_1$-Series through the Telescoping Method
\jour Math. Notes
\yr 2019
\vol 105
\issue 5
\pages 720--727
\mathnet{http://mi.mathnet.ru/mzm12480}
\crossref{https://doi.org/10.1134/S0001434619050080}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3976541}
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85068107546}
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