Article
Another Euler Constant: the Value of an Euler Integral
Authors
Abstract
We show many occurrences in various contexts of the constant
\( E_u := \frac{\pi}{2}\log 2 - \frac{\pi}{8}\zeta(3) = 2.507907542\ldots \).
Since this constant is related to an integral studied by Euler, we propose
to name it after Euler.
Keywords
Euler integral, Euler constants, Apéry constant.
Citation
Allouche, J. (2024). Another euler constant: The value of an euler integral. Uniform Distribution Theory, 19(1), 3–15. https://doi.org/10.2478/UDT-2024-0002
J. Allouche, “Another euler constant: The value of an euler integral,” Uniform Distribution Theory, vol. 19, no. 1, pp. 3–15, 2024, doi: 10.2478/UDT-2024-0002.
Allouche J. Another euler constant: The value of an euler integral. Uniform Distribution Theory. 2024;19(1):3–15. doi:10.2478/UDT-2024-0002.
Allouche, J. (2024), ‘Another euler constant: The value of an euler integral’, Uniform Distribution Theory, 19(1), pp. 3–15. Available at: https://doi.org/10.2478/UDT-2024-0002.
Allouche, Jean-Paul. “Another Euler Constant: The Value of an Euler Integral.” Uniform Distribution Theory, vol. 19, no. 1, 2024, pp. 3–15. https://doi.org/10.2478/UDT-2024-0002.
Allouche, Jean-Paul. “Another Euler Constant: The Value of an Euler Integral.” Uniform Distribution Theory 19, no. 1 (2024): 3–15. https://doi.org/10.2478/UDT-2024-0002.
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- DOI: 10.2478/udt-2024-0002
- Type: article
- Source: Uniform distribution theory
- Published: 2024-12-01
- OpenAlex ID: W4407925411
Published by: Engineering Journals
