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An Abel‐Tauber Theorem for Laplace Transforms
Author(s) -
de Haan Laurens
Publication year - 1976
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms/s2-13.3.537
Subject(s) - abelian and tauberian theorems , laplace transform , mathematics , abelian group , pure mathematics , calculus (dental) , mathematical analysis , dentistry , medicine
An Abelian and Tauberian theorem is proved that is a refinement of Karamata's theorem for slowly varying functions. The theorem is applied to probability distributions
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