On the Cardinality of a Reduced Unique-Range Set
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DOI: 10.1007/s11253-021-01889-z
Abstract: Two meromorphic functions are said to share a set S ⊂ ℂ∪{∞} ignoring multiplicities (IM) if S has the same preimages under both functions. If any two nonconstant meromorphic functions sharing a set IM are… read more here.
Keywords: cardinality; unique range; reduced unique; meromorphic functions ... See more keywords
On the convexity for the range set of two quadratic functions
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DOI: 10.3934/jimo.2020169
Abstract: Given \begin{document}$ n\times n $\end{document} symmetric matrices \begin{document}$ A $\end{document} and \begin{document}$ B, $\end{document} Dines in 1941 proved that the joint range set \begin{document}$ \{(x^TAx, x^TBx)|\; x\in\mathbb{R}^n\} $\end{document} is always convex. Our paper is concerned… read more here.
Keywords: begin document; end document; range set; document end ... See more keywords