Tauberian theorem for the Laplace-Stieltjes integral and Dirichlet series
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Publication:748781
DOI10.1007/BF00971952zbMath0712.40002MaRDI QIDQ748781
Publication date: 1989
Published in: Lithuanian Mathematical Journal (Search for Journal in Brave)
Laplace transform (44A10) Other Dirichlet series and zeta functions (11M41) Tauberian theorems (40E05) Tauberian theorems (11M45)
Related Items (11)
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 ⋮ Unnamed Item ⋮ 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 ⋮ Growth and approximation of Laplace-Stieltjes transform with \((p, q)\)-proximate order converges on the whole plane
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