Real-variables characterization of generalized Stieltjes functions - Mathematics > Classical Analysis and ODEsReport as inadecuate




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Abstract: We obtain a characterization of generalized Stieltjes functions of any order\lambda > 0 in terms of inequalities for their derivatives on 0,\infty. When\lambda=1, this provides a new and simple proof of a characterization ofStieltjes functions first obtained by Widder in 1938.



Author: Alan D. Sokal

Source: https://arxiv.org/







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