期刊
EXPOSITIONES MATHEMATICAE
卷 28, 期 2, 页码 179-185出版社
ELSEVIER GMBH, URBAN & FISCHER VERLAG
DOI: 10.1016/j.exmath.2009.06.004
关键词
Stieltjes function; Stieltjes transform; Generalized Stieltjes function; Generalized Stieltjes transform; Completely monotone function; Bernstein-Hausdorff-Widder theorem; Laplace transform; Hausdorff moment problem; Completely monotone sequence
类别
资金
- U.S. National Science Foundation [PHY-00424082]
We obtain a characterization of generalized Stieltjes functions of any order lambda > 0 in terms of inequalities for their derivatives on (0, infinity). When lambda = 1, this provides a new and simple proof of a characterization of Stieltjes functions first obtained by Widder in 1938. (C) 2009 Elsevier GmbH. All rights reserved.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据