AN APPROXIMATION OF A CATENOID CONSTRUCTED FROM PIECEWISE TRUNCATED CONICAL MINIMAL SURFACES

DOI10.2206/KYUSHUJM.67.339zbMath1361.53009arXiv1207.5920OpenAlexW2962691443MaRDI QIDQ2864704

Akihito Ebisu, Yoshiroh Machigashira

Publication date: 26 November 2013

Published in: Kyushu Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.5920

zbMATH Keywords

hypergeometric functioncatenarytruncated conecatenoidthird-kind Chebyshev polynomial

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Surfaces in Euclidean and related spaces (53A05) Classical hypergeometric functions, ({}_2F_1) (33C05)

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