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A numerical evaluation of integrals by the method of steepest descents

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Publication:1346866
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DOI10.1016/0893-9659(94)00117-UzbMath0815.65029OpenAlexW2006164698MaRDI QIDQ1346866

Bui Doan Khanh

Publication date: 27 March 1995

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0893-9659(94)00117-u


zbMATH Keywords

asymptotic expansionsFermi-Dirac integralsmethod of steepest descentsCauchy's formulaHermite corrector formulaexplicit series formulasymbolic computing system REDUCE


Mathematics Subject Classification ID

Computation of special functions and constants, construction of tables (65D20) Numerical quadrature and cubature formulas (65D32)



Uses Software

  • REDUCE


Cites Work

  • Unnamed Item
  • A computation of Fermi-Dirac integrals by asymptotics and the Hermite corrector formula
  • Explicit Series Formulae for the Evaluation of Integrals by the Method of Steepest Descents
  • Why Steepest Descents?


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