Evaluation of four irrational cosine definite integrals using residue theory

DOI10.1016/0096-3003(89)90048-9zbMath0687.65012OpenAlexW2052294195WikidataQ127237571 ScholiaQ127237571MaRDI QIDQ1263224

Lori M. Evans, James D. Evans

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0096-3003(89)90048-9

zbMATH Keywords

complete elliptic integralsLaurent seriesGauss hypergeometric series

Mathematics Subject Classification ID

Computation of special functions and constants, construction of tables (65D20) Classical hypergeometric functions, ({}_2F_1) (33C05) Elliptic functions and integrals (33E05)

Related Items (7)

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 ⋮ Evaluation of four irrational definite sine integrals using residue theory ⋮ Applications of complex variable residue theory to the evaluation of irrational definite integrals. I ⋮ Exact series solution to the Epstein-Hubbell generalized elliptic type integral using complex variable residue theory ⋮ Applications of complex variable residue theory to the evaluation solution of irrational definite integrals. II

Cites Work

• Abraham Robinson, the creator of nonstandard analysis
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