Two-member asymptotic of Laplace-Stieltjes integrals
Journal Title: Математичні Студії - Year 2017, Vol 47, Issue 1
Abstract
We study conditions, under which for the Laplace-Stieltjes integral I(σ)=∫∞0f(x)exσdF(x) with the abscissa of the convergence σc=A∈(−∞,+∞] the asymptotical equality lnI(σ)=Φ1(σ)+τ(1+o(1))Φ2(σ) as σ↑A is true, where τ∈R∖{0} and Φ1,Φ2 are some positive functions on (−∞,A).
Authors and Affiliations
Myroslav Sheremeta, Marian Dobushovskyy
Keywords
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- EP ID EP310021
- DOI 10.15330/ms.47.1.3-9
- Views 33
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