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MR2399027 30E05 (12D05 26C10 30C15 30D15)
Bakan, Andrew; Ruscheweyh, Stephan Solution of the Karlin problem for zero-diminishing sequences satisfying a Carleman condition. Proc. Amer. Math. Soc. 136 (2008), no. 8, 2665–2674.
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