Growth and approximation of Laplace-Stieltjes transform with \((p, q)\)-proximate order converges on the whole plane

DOI10.1155/2020/9624131zbMath1445.44001OpenAlexW3006445932MaRDI QIDQ2305198

Yongqin Cui, Hong-Yan Xu

Publication date: 10 March 2020

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2020/9624131

zbMATH Keywords

Laplace-Stieltjes transform\((p,q)\)-proximate order

Mathematics Subject Classification ID

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

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 logarithmic order of entire Dirichlet series
• On the generalized type and generalized lower type of an entire function with index pair (p,q)
• On the generalized orders of an entire function of slow growth
• 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
• Convergent prediction-correction-based ADMM for multi-block separable convex programming
• The partially shared values and small functions for meromorphic functions in a \(k\)-punctured complex plane
• Entire solutions for several systems of nonlinear difference and partial differential-difference equations of Fermat-type
• The approximation of Laplace-Stieltjes transforms with finite order
• A generalization of linearized alternating direction method of multipliers for solving two-block separable convex programming
• 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 rate of growth of entire functions of fast growth
• On Entire Functions of Fast Growth
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