EVALUATION OF SOME NON-ELEMENTARY INTEGRALS INVOLVING SINE, COSINE, EXPONENTIAL AND LOGARITHMIC INTEGRALS: PART I

DOI10.15826/umj.2018.1.003zbMath1455.33016arXiv1703.01907OpenAlexW2810916596WikidataQ129439915 ScholiaQ129439915MaRDI QIDQ5125209

Victor Nijimbere

Publication date: 5 October 2020

Published in: Ural mathematical journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.01907

zbMATH Keywords

sine integralfundamental theorem of calculusnon-elementary integrals

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Classical hypergeometric functions, ({}_2F_1) (33C05) Numerical approximation and evaluation of special functions (33F05) Exponential and trigonometric functions (33B10)

Related Items (2)

Exact solution of Arrhenius equation for non-isothermal kinetics at constant heating rate and \(n\)-th order of reaction ⋮ A method for summing Bessel series and a couple of illustrative examples

Uses Software

• DLMF

Cites Work

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• EVALUATION OF THE NON-ELEMENTARY INTEGRAL ∫eλx^α, α≥2, AND OTHER RELATED INTEGRALS
• Integration in Finite Terms
• An Invitation to Integration in Finite Terms

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