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MR2506458 (2010g:11139) 11M32 (05A30 11B65 33D15)
Takeyama, Yoshihiro A $q$-analogue of non-strict multiple zeta values and basic hypergeometric series. Proc. Amer. Math. Soc. 137 (2009), no. 9, 2997–3002.
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