VALUE SHARING RESULTS OF A MEROMORPHIC FUNCTION f(z) AND f(qz)
نویسندگان
چکیده
منابع مشابه
Meromorphic functions sharing one value
Let f and g be two nonconstant meromorphic functions defined in the open complex plane C. If for some a ∈ C∪ {∞}, f − a and g − a have the same set of zeros with the same multiplicities, we say that f and g share the value a CM (counting multiplicities), and if we do not consider the multiplicities, then f and g are said to share the value a IM (ignoring multiplicities). We denote by T(r) the m...
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Let f be a non-constant meromorphic function, n, k be two positive integers and a(z)( 6≡ 0,∞) be a meromorphic small function of f . Suppose that f − a and (f)−a share the value 0 CM. If either (1) n ≥ k+1 and N(r,∞; f) = S(r, f), or (2) n > k + 1 and N(r,∞; f) = λ T (r, f)(λ ∈ [0, 1)), then f ≡ (f) and f assume the form f(z) = ce λ n , where c is a nonzero constant and λ = 1. This result shows...
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ژورنال
عنوان ژورنال: Bulletin of the Korean Mathematical Society
سال: 2011
ISSN: 1015-8634
DOI: 10.4134/bkms.2011.48.6.1235