A note on a new and general summation formula for the generalized hypergeometric series \(_4 F_3 (1)\) (Q6619572)

The authors obtain a closed summation formula for the generalized hypergeometric function \({_4F_3}\) with a unit argument, recovering some previously established summation formulas.\N\NInterested readers should be aware of some misprints and in particular the one in the main result. The right-hand side of (2.1) should actually be \N\[\N {_4F_3} \left( \begin{array}{c} \displaystyle \alpha , \beta , \frac{\alpha+\beta}2 , \frac{\alpha+\beta+1}2 \\\N\displaystyle \alpha+\beta , \frac{\alpha+\beta+i+1}2 , \frac{\alpha+\beta-i+1}2 \end{array} ; \, 1 \right).\N\]