𝑞-analogues of several 𝜋-formulas

Wei, Chuanan

doi:10.1090/proc/14664

$q$-analogues of several $\pi$-formulas
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Proc. Amer. Math. Soc. 148 (2020), 2287-2296 Request permission

Abstract:

We give a short proof of the Hou–Sun identity using a $q$-hypergeometric summation. Furthermore, $q$-analogues of several other $\pi$-formulas are also established according to the $q$-hypergeometric summations and transformations and the telescoping method.

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