Results 1 to 10 of about 205 (144)

The approximation of Laplace-Stieltjes transforms with finite order [PDF]

Journal of Inequalities and Applications, 2017
In this paper, we study the irregular growth of an entire function defined by the Laplace-Stieltjes transform of finite order convergent in the whole complex plane and obtain some results about λ-lower type.
Hong Yan Xu, San Yan Liu
doaj   +5 more sources

Results on analytic functions defined by Laplace-Stieltjes transforms with perfect ϕ-type [PDF]

Open Mathematics, 2020
In this paper, we introduce the concept of the perfect ϕ\phi -type to describe the growth of the maximal molecule of Laplace-Stieltjes transform by using the more general function than the usual.
Liu Simin, Xu Hongyan, Cui Yongqin, Gong Pan   +3 more
doaj   +3 more sources

Laplace-Stieltjes transform of the system mean lifetime via geometric process model

Open Mathematics, 2016
Operation principle of the engineering systems occupies an important role in the reliability theory. In most of the studies, the reliability function of the system is obtained analytically according to the structure of the system.
Gökdere Gökhan, Gürcan Mehmet
doaj   +4 more sources

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

Journal of Inequalities and Applications, 2018
By utilizing the concept of generalized order, we investigate the growth of Laplace–Stieltjes transform converging in the half plane and obtain one equivalence theorem concerning the generalized order of Laplace–Stieltjes transforms.
Hong Yan Xu, Hua Wang
doaj   +2 more sources

Some New Inequalities on Laplace–Stieltjes Transforms Involving Logarithmic Growth

Fractal and Fractional, 2022
This article is devoted to exploring the properties on the logarithmic growth of entire functions represented by Laplace–Stieltjes transforms of zero order.
Hongyan Xu, Hong Li, Zuxing Xuan
doaj   +3 more sources

The Growth of Entire Functions Defined by Laplace–Stieltjes Transforms Related to Proximate Order and Approximation [PDF]

Journal of Function Spaces, 2020
In this article, we discuss the growth of entire functions represented by Laplace–Stieltjes transform converges on the whole complex plane and obtain some equivalence conditions about proximate growth of Laplace–Stieltjes transforms with finite order and
Wen Ju Tang, Jian Chen, Hong Yan Xu
doaj   +2 more sources

An identity for two integral transforms applied to the uniqueness of a distribution via its Laplace–Stieltjes transform [PDF]

Statistics, 2021
22 ...
Gwo Dong Lin, Xiaoling Dou
exaly   +3 more sources

A quantified Tauberian theorem for the Laplace-Stieltjes transform [PDF]

Archiv Der Mathematik, 2018
13 pages, no ...
Markus Hartlapp
exaly   +3 more sources

Growth and Approximation of Laplace-Stieltjes Transform with p,q-Proximate Order Converges on the Whole Plane

Journal of Function Spaces, 2020
One purpose of this paper is to study the growth of entire functions defined by Laplace-Stieltjes transform converges on the whole complex plane, by introducing the concept of p,q-proximate order, and one equivalence theorem of the p,q-proximate order of
Yong Qin Cui, Hong Yan Xu
doaj   +3 more sources

A Note on Some Novel Laplace and Stieltjes Transforms Associated with the Relaxation Modulus of the Andrade Model

Axioms
In the framework of linear viscoelasticity, the authors have previously calculated a novel inverse Laplace transform involving the Mittag–Leffler function in order to calculate the relaxation modulus in the Andrade model. Here, we generalize this result,
Juan Luis González-Santander, Alexander Apelblat   +1 more
doaj   +3 more sources