On the evaluation of generalized exponential integrals \(E_{\nu}(x)\)

DOI10.1016/0021-9991(88)90050-2zbMath0653.65015OpenAlexW2033557123WikidataQ56387133 ScholiaQ56387133MaRDI QIDQ1107946

G. Maino, C. Chiccoli, S. Lorenzutta

Publication date: 1988

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9991(88)90050-2

zbMATH Keywords

asymptotic expansionerror analysisrecurrenceTaylor expansionrecursive formulageneralized exponential integral functionnumerical tables

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Computation of special functions and constants, construction of tables (65D20) Tables in numerical analysis (65A05)

Related Items (7)

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 ⋮ Use of analytical relations in evaluation of exponential integral functions ⋮ An algorithm for exponential integrals of real order ⋮ Drift-diffusive liquid migration in partly saturated sheared granular media

Cites Work

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• Recent results for generalized exponential integrals
• A numerical method for generalized exponential integrals
• Zur Numerik rekurrenter Relationen
• Recursive Computation of Certain Integrals
• Uniform Asymptotic Expansions for Exponential Integrals E_ _n ( x ) and Bickley Functions Ki _n ( x )
• A Computational Procedure for Incomplete Gamma Functions
• Concerning Two Series for the Gamma Function
• Exponential integral integral infinity 1 e-xtt -ndt for large values of n

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