Kyushu Journal of Mathematics
Online ISSN : 1883-2032
Print ISSN : 1340-6116
ISSN-L : 1340-6116
AN APPROXIMATION OF A CATENOID CONSTRUCTED FROM PIECEWISE TRUNCATED CONICAL MINIMAL SURFACES
Akihito EBISU, Yoshiroh MACHIGASHIRA
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ジャーナル フリー

2013 年 67 巻 2 号 p. 339-354

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抄録
In the second author's previous work, we considered an approximation of a catenoid constructed from even truncated cones that maintains minimality in a certain sense. In this paper, we consider such an approximation consisting of odd truncated cones that maintains minimality in the same sense. Through this procedure, we obtain a discrete curve approximating a catenary by exploiting the fact that it is the function that generates a catenoid. In this investigation, the theory of the Gauss hypergeometric functions plays an important role.
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© 2013 Faculty of Mathematics, Kyushu University
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