Value distribution of some differential monomials
Keyword(s):
Let f be a transcendental meromorphic function defined in the complex plane C and k ? N. We consider the value distribution of the differential polynomial fq0(f(k))qk, where q0(?2), qk(?1) are integers. We obtain a quantitative estimation of the characteristic function T(r,f) in terms of N?(r, 1/fq0(f(k))qk-1). Our result generalizes the results obtained by Xu et al. (Math. Inequal. Appl., Vol. 14, PP. 93-100, 2011); Karmakar and Sahoo (Results Math., Vol. 73, 2018) for a particular class of transcendental meromorphic functions.
2005 ◽
Vol 78
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pp. 17-26
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2004 ◽
Vol 47
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pp. 152-160
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2008 ◽
Vol 51
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pp. 697-709
2009 ◽
Vol 139
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pp. 1091-1099
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