The Rectifications of the Cassinian Ovals: Third Round

Here we derive a bunch of explicit formulas for the circumferences of all types of Cassinian ovals in terms of the complete elliptic integrals of the first kind and their equivalent expressions in terms of the hypergeometric functions.

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Bibliographic Details
Published in:Journal of geometry and symmetry in physics 2020, Vol.57, p.87-98
Main Author: Mladenov, Ivaïlo M.
Format: Article
Language:English
Online Access:Get full text
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Description
Summary:Here we derive a bunch of explicit formulas for the circumferences of all types of Cassinian ovals in terms of the complete elliptic integrals of the first kind and their equivalent expressions in terms of the hypergeometric functions.
ISSN:1312-5192
1314-5673
DOI:10.7546/jgsp-57-2020-87-98