229
Views
0
CrossRef citations to date
0
Altmetric
Classroom Notes

Bounds for the generalized Euler-constant function

&
Pages 292-297 | Received 09 Apr 2014, Published online: 30 Aug 2014

References

  • Sondow J, Hadjicostas P. The generalized-Euler-constant function γ(z) and a generalization of Somos’ quadratic recurrence constant. J Math Anal Appl. 2007;332:292–314.
  • Pilehrood KH, Pilehrood TH. Arithmetical properties of some series with logarithmic coefficients. Math Z. 2007;255(1):117–131.
  • Finch SR. Mathematical constants. Cambridge: Cambridge University Press; 2003.
  • Hirschhorn MD. A note on Somos’ quadratic recurrence constant. J Number Theory. 2011;131:2061–2063.
  • Mortici C. Estimating the Somos’ quadratic constant. J Number Theory. 2010;130:2650–2657.
  • Nemes G. On the coefficients of an asymptotic expansion related to Somos’ quadratic recurrence constant. Appl Anal Discrete Math. 2011;5(1):60–66.
  • Somos M. Several constants related to quadratic recurrence. Unpublished note, 1999.
  • Lampret V. Approximation of Sondow’s generalized Euler-constant function on the interval [− 1, 1]. Ann Univ Ferrare. 2010;56:65–76.
  • Lewin L. Polylogarithms and associated functions. New York (NY): North-Holland; 1981.
  • Dragomir SS, Wang S. An inequality of Ostrowski-Gruss’ type and its applications to the estimation of error bounds for some special means and for some numerical quadrature results. Comput Math Appl. 1997;33(11):15–20.
  • Bateman H, Erdelyi A. Higher transcendental functions. Vol. 1. New York (NY): McGraw Hill; 1953.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.