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THE CONVERGENCE OF LAPLACE-STIELTJES TRANSFORMS
Complex Analysis and Applications, 2006Daochun Sun
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The Laplace–Stieltjes transform in Hp spaces: An overview
Asian-European Journal of Mathematics, 2023In this paper, we present a coherent and rigorous overview of the Laplace–Stieltjes transform on [Formula: see text] spaces.
Castillo, René Erlín +1 more
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Integrability Theorems for Laplace-Stieltjes Transforms*
Journal of the London Mathematical Society, 1957The theorems of \textit{P. Heywood} [J. Lond. Math. Soc. 30, 302--310 (1955; Zbl 0064.06201)] on power series and Laplace transforms are generalized by considering Laplace-Stieltjes transforms and more general ``singular factors''. Typical is the following Theorem 1.
Boas, R. P. jun. +1 more
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On the growth properties of the Laplace–Stieltjes transform
Complex Variables and Elliptic Equations, 2013In this paper, we investigate a Type-function of the Laplace–Stieltjes transforms convergent in the complex plane, and obtain some formulas about relations between the growth properties of the maximum modulus and the local maximum , which briefly extend some results of Dirichlet series.
YinYing Kong, Yan Yang
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On the growth and approximation of entire functions represented by Laplace–Stieltjes’ transformation
ANNALI DELL'UNIVERSITA' DI FERRARA, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Singhal, Chhaya, Srivastava, G. S.
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Algorithms for the Laplace–Stieltjes Transforms of First Return Times for Stochastic Fluid Flows
Methodology and Computing in Applied Probability, 2008The authors provide a fluid model which is significant to the telecommunications performance has inspired a large amount of research. The paper promote several algorithms which can be used to calculate the Laplace-Stieltjes transforms of the time taken to return to the initial level in the Markovian stochastic fluid flow model above.
Bean, N., O'Reilly, M., Taylor, P.
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Second-order regular variation inherited from Laplace–Stieltjes transforms
Communications in Statistics - Theory and Methods, 2015ABSTRACTLet be the survival function of a non negative random variable satisfying that is of second-order regular variation with the regular variation index − α < 0 and the second-order parameter ρ < 0. Let ϕ(s) denote the Laplace–Stieltjes transform of F. For α ∈ (m, m + 1) and α − ρ ∈ (k, k + 1) with non negative integers m, k, if m = k, it is proved
Tiantian Mao, Lei Hua
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The abscissa of convergence of the laplace-stieltjes transform of a ph-distribution
Communications in Statistics - Simulation and Computation, 1984If a probability distribution of phase type has an irreducible representation (α,T), the abscissa of convergence of its Laplace-Stieltjes transform is shown to be the eigenvalue of maximum real part of the matrix T.
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jnanabha
In this paper, we investigate the growth of Mu(σ, F) defined by Laplace-Stieltjes transforms of proximate order which is convergent in the half plane. We obtain the error in approximating LaplaceStieltjes transform of finite order in the half plane by Dirichlet polynomials.
Gyan Prakash Rathore +2 more
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In this paper, we investigate the growth of Mu(σ, F) defined by Laplace-Stieltjes transforms of proximate order which is convergent in the half plane. We obtain the error in approximating LaplaceStieltjes transform of finite order in the half plane by Dirichlet polynomials.
Gyan Prakash Rathore +2 more
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Laplace--Stieltjes transform of Mikusinski operator functions
Publicationes Mathematicae Debrecen, 2022openaire +1 more source