Journal of the London Mathematical Society 1976 s2-13(3):537-542; doi:10.1112/jlms/s2-13.3.537
© 1976 by London Mathematical Society
© Oxford University Press
An Abel-Tauber Theorem for Laplace Transforms
Laurens de Haan
Erasmus University Rotterdam
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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