Abstract
This paper introduces a new constant \(\kappa \), with a definition closely related to that of the Euler–Mascheroni’s constant \(\gamma \). Some integrals and infinite sums are evaluated in terms of \(\kappa \).
Similar content being viewed by others
References
Abramovitz, M., Stegun, I.: Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, p. 229. Dover, New York. ISBN 0-486-61272-4 (1964)
Guillera, J., Sondow, J.: Double integrals and infinite products for some classical constants via analytic continuations of Lerch’s transcendent. Ramanujan J. 16, 247–270 (2008)
Lagarias, J.C.: Euler’s constant: Euler’s work and modern developments. Bull. Am. Math. Soc. 50(4), 527–628 (2013)
Sampedro, J.C.: Some unit square integrals. Ramanujan J. 40, 541–555 (2016)
Sondow, J.: Double integrals for Euler’s constant and ln 4/pi and an analog of Hadjicostas’s formula. Am. Math. Mon. 112, 61–65 (2005)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Sampedro, J.C. On a new constant related to Euler’s constant. Ramanujan J 46, 77–89 (2018). https://doi.org/10.1007/s11139-017-9912-7
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11139-017-9912-7