A general analytical solution for calculating \(n\)-fold convolution power of exponential-sum distribution functions
type: Item
instance of: scholarly article
title: A general analytical solution for calculating \(n\)-fold convolution power of exponential-sum distribution functions
zbMATH Open document ID: 1026.60003
DOI: 10.1016/S0096-3003(01)00267-3
author: Naiyang Ma
author: R. P. King
published in: Applied Mathematics and Computation
publication date: 2003-01-28T00:00:00Z
review text: The authors find an explicit formula for the \(n\)-fold convolution \(f*f*\cdots *f\) on \((0,\infty)\), where \(f(t)=\sum_{i=1}^m\alpha_ie^{-\lambda_it}\), and \(\alpha_i,\lambda_i\) are constants.
reviewed by: Anatoly N. Kochubei
Mathematics Subject Classification ID: 60B15
Mathematics Subject Classification ID: 44A35
Mathematics Subject Classification ID: 44A10
Mathematics Subject Classification ID: 28C10
zbMATH DE Number: 1861240
zbMATH Keywords: convolution
zbMATH Keywords: Laplace transform
MaRDI profile type: Publication
cites work: Q3286690
cites work: How to compute the n-fold convolution power of elementary functions without numerical integration
cites work: Numerical Integration Using Sums of Exponential Functions
cites work: Introduction to the Laplace transform
cites work: Complete multinomial expansions
cites work: Q5509892
cites work: Q4002817
full work available at URL: s0096-3003(01)00267-3
OpenAlex ID: W2033227744
description: scientific article; zbMATH DE number 1861240