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An application of Groebner bases to planarity of intersection of surfaces
(Univerzitet u Nišu - Prirodno-matematički fakultet - Departmant za matematiku i informatiku, Niš, 2009)
In this paper we use Groebner bases theory in order to determine planarity of intersections of two algebraic surfaces in R3. We specially considered plane sections of certain type of conoid which has a cubic egg curve as ...
Coefficient characterization for certain classes of univalent functions
(Bulletin of the Belgian Mathematical Society - Simon Stevin, 2009)
Necessary and sufficient coefficient conditions are established for certain
classes of analytic functions to be univalent in the unit disk. In addition,
characterizations and convolution results are established for these ...
Polynomial Interpolation Problem for Skew Polynomials
(Applicable Analysis and Discrete Mathematics, 2007)
Let R = K[x;δ] be a skew polynomial ring over a division ring K. We introduce the notion of derivatives of skew polynomial at scalars. An analogous definition of derivatives of commutative polynomials from K[x] as a function ...