How the elliptic integrals \(K\) and \(E\) arise from circles and points in the Minkowski plane

DOI10.1007/BF01222663zbMath0808.52004OpenAlexW2051068839MaRDI QIDQ1331270

Dave Logothetti, Mostafa Ghandehari

Publication date: 16 March 1995

Published in: Journal of Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01222663

zbMATH Keywords

Minkowski planeelliptic integralsaffine invariantsself- circumference

Mathematics Subject Classification ID

Convexity and finite-dimensional Banach spaces (including special norms, zonoids, etc.) (aspects of convex geometry) (52A21) Affine differential geometry (53A15)

Related Items (2)

An analytic representation of the second symmetric standard elliptic integral in terms of elementary functions ⋮ Uniform approximations of the first symmetric elliptic integral in terms of elementary functions

Cites Work

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• Some properties of the self-circumference of convex sets
• Gauss, Landen, Ramanujan, the Arithmetic-Geometric Mean, Ellipses, π, and the Ladies Diary
• Steinhardt's inequality in the Minkowski plane

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