A numerical method for generalized exponential integrals

DOI10.1016/0898-1221(87)90134-9zbMath0633.65016OpenAlexW1968010449MaRDI QIDQ1096318

C. Chiccoli, G. Maino, S. Lorenzutta

Publication date: 1987

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(87)90134-9

zbMATH Keywords

incomplete gamma functionTaylor series expansionExponential integralsforward and backward recursion

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Computation of special functions and constants, construction of tables (65D20)

Related Items (6)

On the evaluation of generalized exponential integrals \(E_{\nu}(x)\) ⋮ Calculation of exponential integrals of real order ⋮ On a tricomi series representation for the generalized exponential integral ⋮ Recent results for generalized exponential integrals ⋮ Concerning some integrals of the generalized exponential-integral function ⋮ Fast and accurate algorithm for the generalized exponential integral \(E_{\nu}(x)\) for positive real order

Uses Software

• Algorithm 542

Cites Work

• Unnamed Item
• Unnamed Item
• Zur Numerik rekurrenter Relationen
• Sulle funzioni ipergeometriche confluenti
• Recursive Computation of Certain Integrals
• Uniform Asymptotic Expansions for Exponential Integrals E_ _n ( x ) and Bickley Functions Ki _n ( x )
• The Generalized Integro-Exponential Function
• A Computational Procedure for Incomplete Gamma Functions
• Algorithm 542: Incomplete Gamma Functions [S14]
• Concerning Two Series for the Gamma Function
• Exponential integral integral infinity 1 e-xtt -ndt for large values of n

This page was built for publication: A numerical method for generalized exponential integrals