Results 21 to 30 of about 149,828 (306)

The kernel of the generalized Clifford-Fourier transform and its generating function [PDF]

, 2016
In this paper, we study the generalized Clifford-Fourier transform using the Laplace transform technique. We give explicit expressions in the even dimensional case, we obtain polynomial bounds for the kernel functions and establish a generating ...
Bao, Gejun, Constales, Denis, De Bie, Hendrik, Lian, Pan   +3 more
core   +3 more sources

Some theorems and properties of multi-dimensional fractional Laplace transforms [PDF]

, 2016
The aim of this work is to study theorems and properties for the one-dimensional fractional Laplace transform, generalize some properties for the one-dimensional fractional Lapalce transform to be valid for the multi-dimensional fractional Lapalce ...
Ahmood, Wasan Ajeel, Kilicman, Adem
core   +1 more source

Dual representations of Laplace transforms of Brownian excursion and generalized meanders

, 2018
The Laplace transform of the $d$-dimensional distribution of Brownian excursion is expressed as the Laplace transform of the $(d+1)$-dimensional distribution of an auxiliary Markov process, started from a $\sigma$-finite measure and with the roles of ...
Bryc, Włodzimierz, Wang, Yizao
core   +1 more source

Tail bounds for all eigenvalues of a sum of random matrices [PDF]

, 2011
This work introduces the minimax Laplace transform method, a modification of the cumulant-based matrix Laplace transform method developed in "User-friendly tail bounds for sums of random matrices" (arXiv:1004.4389v6) that yields both upper and lower ...
Gittens, Alex, Tropp, Joel A.
core   +3 more sources

On the $(k,\psi )$-Generalized Laplace Transforms and Their Applications to Fractional Differential Equations

Communications in Advanced Mathematical Sciences
In this paper, a new generalization of the Laplace transform, called the $(k,\psi )$-generalized Laplace transform, which plays an important role in solving many problem models, is introduced and its special properties are given.
Emine Cengizhan, Yasemin Başcı, Adil Mısır   +2 more
doaj   +1 more source

Laplace Transform Method for Pricing American CEV Strangles Option with Two Free Boundaries

Discrete Dynamics in Nature and Society, 2018
Laplace transform method (LTM) has a lot of applications in the evaluation of European-style options and exotic options without early exercise features.
Zhiqiang Zhou, Hongying Wu
doaj   +1 more source

On q-double modified Laplace transform [PDF]

Mathematics and Computational Sciences
The Laplace transform is widely used in science and technology to deal with complex problemsin stability and control systems. The modified Laplace transform has been applied in physics andmathematics to solve boundary layer equations in ordinary ...
Srikumar Panda, Praveen Agarwal, Arvind Kumar Sinha   +2 more
doaj   +1 more source

Laplace transform ordering of bivariate inactivity times

AIMS Mathematics, 2022
In this paper we consider the Laplace transform of the bivariate inactivity time. We show that a weak bivariate reversed hazard rate order is characterized by the Laplace transform of the bivariate inactivity times in two different frames.
Mansour Shrahili , Mohamed Kayid
doaj   +1 more source

Conformable Double Laplace–Sumudu Transform Decomposition Method for Fractional Partial Differential Equations

Complexity, 2022
In this work, we proposed a new method called conformable fractional double Laplace–Sumudu transform decomposition method (CFDLSTDM) to solve fractional partial differential equations (FPDEs).This method is a combination of the Laplace–Sumudu transform ...
Jia Honggang, Zhao Yanmin
doaj   +1 more source

On the Leibniz rule and Laplace transform for fractional derivatives

, 2019
Taylor series is a useful mathematical tool when describing and constructing a function. With the series representation, some properties of fractional calculus can be revealed clearly.
Liu, Da-Yan, Tse, Peter W., Wang, Yong, Wei, Yiheng   +3 more
core   +3 more sources