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
Abstract
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 |
| Download/View statistics | View download statistics for this item |
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