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dc.contributor.authorGüler, Erhan
dc.contributor.authorKişi, Ömer
dc.contributor.authorKonaxis, Christos
dc.date.accessioned2019-06-11T08:00:37Z
dc.date.available2019-06-11T08:00:37Z
dc.date.issued2018
dc.identifier.urihttps://www.mdpi.com/2227-7390/6/12/279
dc.identifier.urihttp://hdl.handle.net/11772/1342
dc.description.abstractConsidering the Weierstrass data as $(\psi ,f,g)=( 2,1-z^{-m},z^{n})$, we introduce a two parameter family of Henneberg type minimal surface that we call $\mathfrak{H}_{m,n}$ for positive integers $(m,n)$ by using the Weierstrass representation in the four-dimensional Euclidean space $\mathbb{E}^{4}$. We define $\mathfrak{H}_{m,n}$ in $(r,\theta)$ coordinates for positive integers $(m,n)$ with $m\neq 1,n\neq -1, -m+n\neq -1$, and also in $(u,v)$ coordinates, and then we obtain implicit algebraic equations of the Henneberg type minimal surface of values $(4,2)$.en_US
dc.language.isoengen_US
dc.rightsinfo:eu-repo/semantics/restrictedAccessen_US
dc.subjectHenneberg-type minimal surfaceen_US
dc.subjectWeierstrass representationen_US
dc.subjectFour-dimensional spaceen_US
dc.subjectImplicit equationen_US
dc.titleImplicit equations of the henneberg-type minimal surface in the four dimensional euclidean spaceen_US
dc.typearticleen_US
dc.relation.journalMathematics Special Issue: Computer Algebra in Scientific Computingen_US
dc.contributor.departmentBartın Üniversitesi, Fen Fakültesi, Matematik Bölümüen_US
dc.contributor.authorID28161en_US
dc.identifier.volume6en_US
dc.identifier.issue12en_US
dc.identifier.startpage1en_US
dc.identifier.endpage10en_US


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