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Mathematics > Complex Variables

arXiv:1501.05092 (math)
[Submitted on 21 Jan 2015 (v1), last revised 9 Feb 2015 (this version, v2)]

Title:Uniqueness of p(f) and P[f]

Authors:Kuldeep Singh Charak, Banarsi Lal
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Abstract:Let f be a non constant meromorphic function and a(not identically zero or infinity) be a meromorphic function satisfying T(r,a) = o(T(r,f)) as r tends to infinity, and p(z) be a polynomial of degree n greater than or equal to 1 with p(0) = 0. Let P[f] be a non constant differential polynomial of f. Under certain essential conditions, we prove the uniqueness of p(f) and P[f] when p(f) and P[f] share a with weight l greater than or equal to zero. Our result generalizes the results due to Zang and Lu, Banerjee and Majumder, Bhoosnurmath and Kabbur and answers a question of Zang and Lu.
Comments: 14 pages
Subjects: Complex Variables (math.CV)
MSC classes: 30D35, 30D30
Cite as: arXiv:1501.05092 [math.CV]
  (or arXiv:1501.05092v2 [math.CV] for this version)
  https://doi.org/10.48550/arXiv.1501.05092

Submission history

From: Kuldeep Singh Charak [view email]
[v1] Wed, 21 Jan 2015 08:35:58 UTC (7 KB)
[v2] Mon, 9 Feb 2015 11:38:17 UTC (7 KB)
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