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MR2196051 (2006i:33003) 33B15 (26A48 33D05)
Grinshpan, Arcadii Z.; Ismail, Mourad E. H. Completely monotonic functions involving the gamma and $q$-gamma functions. Proc. Amer. Math. Soc. 134 (2006), no. 4, 1153–1160.
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