Two meromorphic functions f and g are said to share a set S ⊂ ℂ∪ {∞} with weight l ∈ ℕ∪{0}∪{∞} if Ef (S, l) = Eg(S, l), where
provided that t = p for p ≤ l and t = p + 1 for p > l. We improve and supplement the result by L.W. Liao and C. C. Yang [Indian J. Pure Appl. Math., 31, No. 4, 431–440 (2000)] by showing that there exists a finite set S with 13 elements such that Ef (S, 1) = Eg(S, 1) implies that f ≡ g.
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12 May 2021
A Correction to this paper has been published: https://doi.org/10.1007/s11253-021-01868-4
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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 72, No. 7, pp. 997–1005, July, 2020. Ukrainian DOI: 10.37863/umzh.v72i7.6022.
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Chakraborty, B., Chakraborty, S. On the Cardinality of Unique Range Sets with Weight One. Ukr Math J 72, 1164–1174 (2020). https://doi.org/10.1007/s11253-020-01849-z
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DOI: https://doi.org/10.1007/s11253-020-01849-z