On the growth of zero order Laplace-Stieltjes transform convergent in the right half-plane

DOI10.1016/S0252-9602(08)60045-4zbMath1174.44301OpenAlexW1974260194MaRDI QIDQ1003955

Daochun Sun, Yin-Ying Kong

Publication date: 6 March 2009

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0252-9602(08)60045-4

zbMATH Keywords

Newton polygonLaplace-Stieltjes transformszero orderexponential orderexponential low order

Mathematics Subject Classification ID

Laplace transform (44A10) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Special classes of entire functions of one complex variable and growth estimates (30D15)

Related Items (8)

The growth and approximation for an analytic function represented by Laplace-Stieltjes transforms with generalized order converging in the half plane ⋮ The approximation of Laplace-Stieltjes transforms with finite order ⋮ Entire functions represented by Laplace-Stieltjes transforms concerning the approximation and generalized order ⋮ The growth of entire functions defined by Laplace-Stieltjes transforms related to proximate order and approximation ⋮ Some inequalities on the convergent abscissas of Laplace-Stieltjes transforms ⋮ The approximation of Laplace-Stieltjes transformations with finite order on the left half plane ⋮ The singular points of analytic functions with finite \(X\)-order defined by Laplace-Stieltjes transformations ⋮ On the growth properties of the Laplace–Stieltjes transform

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