On the growth properties of the Laplace–Stieltjes transform

DOI10.1080/17476933.2013.766174zbMath1291.44003OpenAlexW2051546909MaRDI QIDQ5417847

Yan Yang, Yin-Ying Kong

Publication date: 22 May 2014

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2013.766174

zbMATH Keywords

Laplace-Stieltjes transformDirichlet seriestype-functionprecision order

Mathematics Subject Classification ID

Laplace transform (44A10) Special classes of entire functions of one complex variable and growth estimates (30D15)

Related Items (9)

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 ⋮ The growth of entire functions defined by Laplace-Stieltjes transforms related to proximate order and approximation ⋮ On the growth and approximation of entire functions represented by Laplace-Stieltjes' transformation ⋮ Some inequalities on the convergent abscissas of Laplace-Stieltjes transforms ⋮ On the logarithmic proximate order of analytic functions of slow growth represented by Laplace-Stieltjes' transformations ⋮ The singular points of analytic functions with finite \(X\)-order defined by Laplace-Stieltjes transformations ⋮ The approximation of Laplace-Stieltjes transforms concerning Sun's type function ⋮ Results on analytic functions defined by Laplace-Stieltjes transforms with perfect \(\phi\)-type

Cites Work

• Julia lines of random Dirichlet series
• On the growth of zero order Laplace-Stieltjes transform convergent in the right half-plane
• Entire functions defined by Dirichlet series

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