Abstract
We present series representations for some mathematical constants, like γ, π, log 2, ζ(3). In particular, we prove that the following representation for Euler’s constant is valid:
Реэюме
QPолучено представление в виде рядов некоторых математических констант, таких как π, log 2, ζ(3). В частности, установлено следуюшее представление для постоянной Эйлера:
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
H. Alzer, D. Karayannakis and H. M. Srivastava, Series representations for some mathematical constants, J. Math. Anal. Appl., 320(2006), 145–162.
P. Amore, Convergence acceleration of series through a variational approach, J. Math. Anal. Appl., 323(2006), 63–77.
B. C. Berndt and D. C. Bowman, Ramanujan’s short unpublished manuscript on integrals and series related to Euler’s constant, Canad. Math. Soc. Conf. Proc., 27(2000), 19–27.
S. R. Finch, Mathematical Constants, Cambridge Univ. Press (Cambridge, 2003).
K. S. Kölbig, The polygamma function ψ (k)(x) for x = 1/4 and x = 3/4, J. Comput. Appl. Math., 75(1996), 43–46.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Alzer, H., Koumandos, S. Series representations for γ and other mathematical constants. Anal Math 34, 1–8 (2008). https://doi.org/10.1007/s10476-008-0101-1
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10476-008-0101-1