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-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 \pi and propose a challenging conjecture. [ABSTRACT FROM AUTHOR]