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Monotonicity theorems and inequalities for the complete elliptic integrals
- Source :
- Journal of Computational and Applied Mathematics. (2):289-312
- Publisher :
- Elsevier B.V.
-
Abstract
- We prove monotonicity properties of certain combinations of complete elliptic integrals of the first and second kind, K and E. These results lead to sharp symmetrical bounds for K and E, which improve recently discovered inequalities.
Details
- Language :
- English
- ISSN :
- 03770427
- Issue :
- 2
- Database :
- OpenAIRE
- Journal :
- Journal of Computational and Applied Mathematics
- Accession number :
- edsair.doi.dedup.....1c0b3bac53c64eea2aa2cf052673831d
- Full Text :
- https://doi.org/10.1016/j.cam.2004.02.009