On Morrison's definite integral
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| 024 | 7 | 0 | |a 10.1007/s00010-015-0355-1 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s00010-015-0355-1 | ||
| 245 | 0 | 0 | |a On Morrison's definite integral |h [Elektronische Daten] |c [J. Arias de Reyna, M. Glasser, Y. Zhou] |
| 520 | 3 | |a As an application of Cauchy's Theorem we prove that $$\int_{0}^{1}{\rm arctan}\left(\frac{{\rm arctanh} x-{\rm arctan} x}{\pi+{\rm arctanh} x-{\rm arctan} x}\right) \frac{dx}{x}= \frac{\pi}{8}{\rm log}\frac{\pi^{2}}{8}$$ ∫ 0 1 arctan arctanh x - arctan x π + arctanh x - arctan x d x x = π 8 log π 2 8 answering by this means a question posted in 1984 by J. A. Morrison in the Problem Section of the journal SIAM Review. | |
| 540 | |a Springer Basel, 2015 | ||
| 700 | 1 | |a Arias de Reyna |D J. |u Facultad de Matemáticas, Univ. de Sevilla, Apdo. 1160, 41080, Sevilla, Spain |4 aut | |
| 700 | 1 | |a Glasser |D M. |u Dpto. de Física Teórica, Facultad de Ciencias, Universidad de Valladolid, Paseo Belén 9, 47011, Valladolid, Spain |4 aut | |
| 700 | 1 | |a Zhou |D Y. |u Program in Applied and Computational Mathematics, Princeton University, 08544, Princeton, NJ, USA |4 aut | |
| 773 | 0 | |t Aequationes mathematicae |d Springer Basel |g 89/4(2015-08-01), 1241-1250 |x 0001-9054 |q 89:4<1241 |1 2015 |2 89 |o 10 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s00010-015-0355-1 |q text/html |z Onlinezugriff via DOI |
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| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
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| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s00010-015-0355-1 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Arias de Reyna |D J. |u Facultad de Matemáticas, Univ. de Sevilla, Apdo. 1160, 41080, Sevilla, Spain |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Glasser |D M. |u Dpto. de Física Teórica, Facultad de Ciencias, Universidad de Valladolid, Paseo Belén 9, 47011, Valladolid, Spain |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Zhou |D Y. |u Program in Applied and Computational Mathematics, Princeton University, 08544, Princeton, NJ, USA |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Aequationes mathematicae |d Springer Basel |g 89/4(2015-08-01), 1241-1250 |x 0001-9054 |q 89:4<1241 |1 2015 |2 89 |o 10 | ||