Fast and accurate algorithm for the generalized exponential integral \(E_{\nu}(x)\) for positive real order
type: Item
instance of: scholarly article
title: Fast and accurate algorithm for the generalized exponential integral \(E_{\nu}(x)\) for positive real order
zbMATH Open document ID: 1382.65062
author: Guillermo Navas-Palencia
published in: Numerical Algorithms
publication date: 2018-02-09T00:00:00Z
Mathematics Subject Classification ID: 65D20
Mathematics Subject Classification ID: 33E05
Mathematics Subject Classification ID: 33F05
zbMATH DE Number: 6836930
zbMATH Keywords: generalized exponential integral
zbMATH Keywords: numerical evaluation of special functions
zbMATH Keywords: asymptotic expansion
zbMATH Keywords: numerical example
zbMATH Keywords: algorithm
zbMATH Keywords: error bound
describes a project that uses: Arb
describes a project that uses: Cephes
describes a project that uses: LBNL
describes a project that uses: GSL
describes a project that uses: Boost C++ Libraries
describes a project that uses: mpmath
describes a project that uses: Boost
describes a project that uses: IncgamNEG
describes a project that uses: Digital Library of Mathematical Functions
MaRDI profile type: Publication
full work available at URL: s11075-017-0331-z
OpenAlex ID: W2609672519
cites work: Q3003675
cites work: Effective Laguerre Asymptotics
cites work: Q3250680
cites work: A numerical method for generalized exponential integrals
cites work: An algorithm for exponential integrals of real order
cites work: Recent results for generalized exponential integrals
cites work: Concerning some integrals of the generalized exponential-integral function
cites work: Chebyshev Approximations for the Exponential Integral Ei(x)
cites work: A floating-point technique for extending the available precision
cites work: Exponential integral integral infinity 1 e-xtt -ndt for large values of n
cites work: Benchmarking optimization software with performance profiles.
cites work: Algorithm 969
cites work: Numerical Methods for Special Functions
cites work: Efficient and Accurate Algorithms for the Computation and Inversion of the Incomplete Gamma Function Ratios
cites work: Q4137395
cites work: Computing Hypergeometric Functions Rigorously
cites work: Hyperasymptotic expansions of confluent hypergeometric functions
cites work: Q5627024
cites work: Q4398780
cites work: The double exponential formula for oscillatory functions over the half infinite interval
DOI: 10.1007/S11075-017-0331-Z
description: scientific article; zbMATH DE number 6836930