Applications of complex variable residue theory to the evaluation of irrational definite integrals. I

DOI10.1016/0096-3003(90)90028-2zbMath0706.65012OpenAlexW4254338482MaRDI QIDQ918622

James D. Evans

Publication date: 1990

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0096-3003(90)90028-2

zbMATH Keywords

Laurent seriesirrational definite cosine integralsResidue theory

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Computation of special functions and constants, construction of tables (65D20) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)

Related Items (4)

Applications of complex variable residue theory to the evaluation of irrational definite integrals. III ⋮ Applications of complex variable residue theory for evaluating irrational definite integrals. IV ⋮ A study on the Epstein-Hubbell generalized elliptic-type integral using residue theory ⋮ Exact series solution to the Epstein-Hubbell generalized elliptic type integral using complex variable residue theory

Cites Work

• Evaluation of four irrational definite sine integrals using residue theory
• Evaluation of four irrational cosine definite integrals using residue theory
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