Some parametric 𝑞-supercongruences from a summation of Gasper and Rahman

By employing a quadratic summation formula due to Gasper and Rahman Basic hypergeometric series, 2nd ed, vol. 96, Cambridge University Press, Cambridge, 2004 and the creative microscoping method developed by Guo and Zudilin Adv. Math. 346 (2019), pp. 329–358, we establish some new parametric q q -supercongruences, the corresponding supercongruences of which can be deemed the variants of Van Hamme’s (J. 2) and (L. 2) supercongruences. Moreover, we obtain three families of Ramanujan-type formulas on π and propose a challenging conjecture.