Nadia N. Li, Wenchang Chu, “Some Mysterious-Looking <nobr>$_2F_1$</nobr>-Series through the Telescoping Method”, Mat. Zametki, 2019, Volume 105, Issue 5,Pages <nobr>720

Papers published in the English version of the journal

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

Nadia N. Li^a, Wenchang Chu^ab

^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.

Received: 21.11.2018

Language: English