Some Mysterious-Looking 2F1-Series through the Telescoping Method


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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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