The growth and approximation for an analytic function represented by Laplace-Stieltjes transforms with generalized order converging in the half plane

DOI10.1186/s13660-018-1783-yzbMath1498.44001OpenAlexW2884174067WikidataQ64910826 ScholiaQ64910826MaRDI QIDQ824686

Hua Wang, Hong-Yan Xu

Publication date: 15 December 2021

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-018-1783-y

zbMATH Keywords

approximationLaplace-Stieltjes transformerrorhalf plane

Mathematics Subject Classification ID

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

Related Items (3)

The growth of entire functions defined by Laplace-Stieltjes transforms related to proximate order and approximation ⋮ Unnamed Item ⋮ Results on analytic functions defined by Laplace-Stieltjes transforms with perfect \(\phi\)-type

Cites Work

• The singular points of analytic functions with finite \(X\)-order defined by Laplace-Stieltjes transformations
• Tauberian theorem for the Laplace-Stieltjes integral and Dirichlet series
• On the growth of zero order Laplace-Stieltjes transform convergent in the right half-plane
• On the growth and approximation of entire functions represented by Laplace-Stieltjes' transformation
• The approximation of Laplace-Stieltjes transformations with finite order on the left half plane
• On the derivative of a Dirichlet series
• The approximation of Laplace-Stieltjes transforms with finite order
• The growth and value distribution of Laplace-Stieltjes transformations with infinite order in the right half-plane
• Über die Konvergenzabszisse des Laplace-Integrals
• Tauberian Theorems for the Laplace-Stieltjes Transform
• Logarithms of Laplace–Stiltjes integral and maximum of the integrand
• On the growth properties of the Laplace–Stieltjes transform
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