An algorithm for exponential integrals of real order

DOI10.1007/BF02250638zbMath0725.65021MaRDI QIDQ2277759

G. Maino, S. Lorenzutta, C. Chiccoli

Publication date: 1990

Published in: Computing (Search for Journal in Brave)

zbMATH Keywords

recurrence relationgamma functionsNumerical examplesexponential integral functioncomposite algorithm

Mathematics Subject Classification ID

Computation of special functions and constants, construction of tables (65D20) Numerical quadrature and cubature formulas (65D32) Incomplete beta and gamma functions (error functions, probability integral, Fresnel integrals) (33B20) Software, source code, etc. for problems pertaining to special functions (33-04)

Related Items (2)

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

• On the evaluation of generalized exponential integrals \(E_{\nu}(x)\)
• A Computational Procedure for Incomplete Gamma Functions
• Algorithm 542: Incomplete Gamma Functions [S14]
• Calculation of exponential integrals of real order
• Concerning Two Series for the Gamma Function

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