On the Cardinality of Unique Range Sets with Weight One
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DOI: 10.1007/s11253-020-01849-z
Abstract: UDC 517.9 Two meromorphic functions $f$ and $g$ are said to share the set $S\subset \mathbb{C}\cup\{\infty\}$ with weight $l\in\mathbb{N}\cup\{0\}\cup\{\infty\},$ if $E_{f}(S,l)=E_{g}(S,l),$ where $$$E_{f}(S,l)=\bigcup_{a \in S} \big \{(z,t) \in \mathbb{C}\times\mathbb{N} \bigm| f(z)=a \; \text{with multiplicity} \;p… read more here.
Keywords: weight one; cardinality unique; unique range; sets weight ... See more keywords
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