About bounds for the elliptic integral of the first kind

Authors

  • Pál A. Kupán Sapientia University, Romania
  • Róbert Szász Sapientia University, Romania

DOI:

https://doi.org/10.33993/jnaat412-976

Keywords:

hypergeometric function, elliptic integral, inequality, bounds
Abstract views: 245

Abstract

We deduce an inequality using elementary methods which makes it possible to prove a conjecture regarding the upper bound of the elliptic integral of the first kind, furthermore we also improve the lower bound.

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References

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Published

2012-08-01

How to Cite

Kupán, P. A., & Szász, R. (2012). About bounds for the elliptic integral of the first kind. Rev. Anal. Numér. Théor. Approx., 41(2), 149–156. https://doi.org/10.33993/jnaat412-976

Issue

Vol. 41 No. 2 (2012)

Section

Articles

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Copyright (c) 2015 Journal of Numerical Analysis and Approximation Theory

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