By examining reciprocal relations of basic well-poised, quadratic and cubic series, we establish $q$-analogues of three infinite series for $1/\pi^2$ due to Guillera (2003) and $\lambda$-parameter extensions of three infinite series for $1/\pi$ due to Ramanujan (1914). Several further infinite series identities of Ramanujan-type are also derived as consequences.
"$q$-series reciprocities and further $\pi$-formulae." Kodai Math. J. 41 (3) 512 - 530, October 2018. https://doi.org/10.2996/kmj/1540951251