@article{Chu_2023, title={$\pi$-Formulae from dual series of the Dougall theorem}, volume={74}, url={https://umj.imath.kiev.ua/index.php/umj/article/view/6587}, DOI={10.37863/umzh.v74i12.6587}, abstractNote={<p>UDC 517.5</p> <p>By means of the extended Gould–Hsu inverse series relations,&nbsp;we find that the dual relation of Dougall’s summation theorem&nbsp;for the well-poised $_7F_6$-series can be used to construct&nbsp;numerous interesting Ramanujan-like infinite-series expressions<span class="Apple-converted-space">&nbsp;&nbsp;</span>for $\pi^{\pm1}$ and $\pi^{\pm2},$ including an elegant formula<span class="Apple-converted-space">&nbsp;&nbsp;</span>for $\pi^{-2}$ due to Guillera.</p&gt;}, number={12}, journal={Ukrains’kyi Matematychnyi Zhurnal}, author={Chu, W.}, year={2023}, month={Jan.}, pages={1686 - 1708} }