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2020 The Rectifications of the Cassinian Ovals: Third Round
Ivaïlo M. Mladenov
J. Geom. Symmetry Phys. 57(none): 87-98 (2020). DOI: 10.7546/jgsp-57-2020-87-98

Abstract

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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Ivaïlo M. Mladenov. "The Rectifications of the Cassinian Ovals: Third Round." J. Geom. Symmetry Phys. 57 87 - 98, 2020. https://doi.org/10.7546/jgsp-57-2020-87-98

Information

Published: 2020
First available in Project Euclid: 30 December 2020

MathSciNet: MR4194212
Digital Object Identifier: 10.7546/jgsp-57-2020-87-98

Rights: Copyright © 2020 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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