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EVALUATION OF CERTAIN EXOTIC
$_3F_2$(1)-SERIES
Published online by Cambridge University Press: 05 September 2022
Abstract
A class of exotic
$_3F_2(1)$
-series is examined by integral representations, which enables the authors to present relatively easier proofs for a few remarkable formulae. By means of the linearization method, these
$_3F_2(1)$
-series are further extended with two integer parameters. A general summation theorem is explicitly established for these extended series, and several sample summation identities are highlighted as consequences.
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- © The Author(s), 2022. Published by Cambridge University Press on behalf of Foundation Nagoya Mathematical Journal
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