Evaluating Log-Tangent Integrals via Euler Sums

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Sofo, Anthony ORCID: 0000-0002-1277-8296 (2022) Evaluating Log-Tangent Integrals via Euler Sums. Mathematical Modelling and Analysis, 27 (1). pp. 1-18. ISSN 1392-6292


An investigation into the representation of integrals involving the product of the logarithm and the arctan functions, reducing to log-tangent integrals, will be undertaken in this paper. We will show that in many cases these integrals take an explicit form involving the Riemann zeta function, the Dirichlet eta function, Dirichlet lambda function and many other special functions. Some examples illustrating the theorems will be detailed.

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Item type Article
URI https://vuir.vu.edu.au/id/eprint/45971
DOI 10.3846/mma.2022.13100
Official URL https://journals.vilniustech.lt/index.php/MMA/arti...
Subjects Current > FOR (2020) Classification > 4901 Applied mathematics
Current > Division/Research > College of Science and Engineering
Keywords long tangent integrals, applied mathematics, logarithm, arctan functions
Citations in Scopus 0 - View on Scopus
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