On the growth and approximation of entire functions represented by Laplace-Stieltjes' transformation

DOI10.1007/s11565-017-0272-4zbMath1386.30004OpenAlexW2586849195MaRDI QIDQ1690134

Chhaya Singhal, Girja S. Srivastava

Publication date: 18 January 2018

Published in: Annali dell'Università di Ferrara. Sezione VII. Scienze Matematiche (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11565-017-0272-4

zbMATH Keywords

entire functionordertypemaximum modulusLaplace-Stieltjes transformation

Mathematics Subject Classification ID

Dirichlet series, exponential series and other series in one complex variable (30B50) Representations of entire functions of one complex variable by series and integrals (30D10)

Related Items (7)

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 transforms concerning Sun's type function ⋮ Growth and approximation of Laplace-Stieltjes transform with \((p, q)\)-proximate order converges on the whole plane

Cites Work

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• On the approximation of an analytic function by exponential polynomials
• Proximate order \((R)\) of entire functions represented by Dirichlet series
• The growth and value distribution of Laplace-Stieltjes transformations with infinite order in the right half-plane
• On the Approximation of an Analytic Function Represented by Laplace-Stieltjes Transformation
• ON THE LOWER ORDER OF ENTIRE FUNCTIONS DEFINED BY DIRICHLET SERIES
• ON THE RITT ORDER OF ENTIRE DIRICHLET SERIES
• On the growth properties of the Laplace–Stieltjes transform

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