Abstract
This paper deals with the relationship between the behavior of a real function ν(t) as t → + ∞ and the behavior of the Laplace transform F[ν](s) of the charge d ν(t), {fx906-1} near its singular point.
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Original Russian Text © O. A. Petrushov, 2013, published in Matematicheskie Zametki, 2013, Vol. 93, No. 6, pp. 920–931.
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Petrushov, O.A. Asymptotic estimates of functions based on the behavior of their Laplace transforms near singular points. Math Notes 93, 906–916 (2013). https://doi.org/10.1134/S0001434613050283
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DOI: https://doi.org/10.1134/S0001434613050283