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A Power of a Meromorphic Function Sharing One Value with Its Derivative
| Content Provider | Semantic Scholar |
|---|---|
| Author | Majumder, Sujoy |
| Copyright Year | 2017 |
| Abstract | 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 that Brück conjecture is true for meromorphic function when F = f with N(r,∞; f) = S(r, f) and n ≥ 2. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://imar.ro/journals/Mathematical_Reports/Pdfs/2017/1/2.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
