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

DOI10.15826/umj.2018.1.004zbMath1455.33017arXiv1807.04125OpenAlexW2952584841WikidataQ129438524 ScholiaQ129438524MaRDI QIDQ5125210

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/1807.04125

zbMATH Keywords

cosine integralexponential integralhyperbolic cosine integralhyperbolic sine integrallogarithmic integralsine integralhypergeometric functionsnon-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)

Uses Software

• DLMF

Cites Work

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• Concerning some integrals of the generalized exponential-integral function
• Exponential asymptotics and law of the iterated logarithm for intersection local times of random walks
• Blue sky and hot piles: The evolution of radiative transfer theory from atmospheres to nuclear reactors
• 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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