Explicit evaluations of log–log integrals

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Sofo, Anthony ORCID: 0000-0002-1277-8296 (2022) Explicit evaluations of log–log integrals. Journal of Analysis, 31 (2). pp. 1223-1239. ISSN 0971-3611

Abstract

By investigating a family of log-log type integrals on the unit domain and on the positive half line, we produce a substantial number of new identities, representing the value of the integral with the aid of Euler sums. A new family of Euler sum identities will also be given, thereby extending the current knowledge.

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Item type Article
URI https://vuir.vu.edu.au/id/eprint/46815
DOI 10.1007/s41478-022-00511-0
Official URL https://link.springer.com/article/10.1007/s41478-0...
Subjects Current > FOR (2020) Classification > 4904 Pure mathematics
Current > Division/Research > College of Science and Engineering
Keywords log-log type integrals, positive half line, pure mathematics, Euler sum
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