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q-Analogues of Some Series for Powers of pi

Hou, QH; Sun, ZW

Hou, QH (corresponding author), Tianjin Univ, Sch Math, Tianjin 300350, Peoples R China.

ANNALS OF COMBINATORICS, 2021; 25 (1): 167

Abstract

We obtain q-analogues of several series for powers of pi. For example, the identity Sigma(infinity)(k=0) (-1)(k)/(2k + 1)(3) = pi(3)/32 has the follow......

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