Explicit expressions for the hypergeometric series 2F1(−n, a; 2a±j; 2) and 2F1(−n, a; −2n ± j; 2) for positive integer n and arbitrary integer j are obtained with the help of generalizations of Kummer's second and third summation theorems obtained earlier by Rakha and Rathie. Results for |j| ≤ 5 derived previously using different methods are also obtained as special cases.Mathematics Subject Classification: 33C15, 33C20
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