文章基本信息

标题：Abelian theorems for the stieltjes transform of functions, II
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作者：Richard D. Carmichael ; Elmer K. Hayashi
期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：1981
卷号：4
DOI：10.1155/S0161171281000045
出版社：Hindawi Publishing Corporation
摘要：An initial (final) value Abelian theorem concerning transforms of functions is a result in which known behavior of the function as its domain variable approaches zero (approaches ∞) is used to infer the behavior of the transform as its domain variable approaches zero (approaches ∞). We obtain such theorems in this paper concerning the Stieltjes transform. In our results all parameters are complex; the variable s of the transform is complex in the right half plane; and the initial (final) value Abelian theorems are obtained as |s|→0(|s|→∞) within an arbitrary wedge in the right half plane.