Meromorphic Solutions for a Class of Differential Equations and Their Applications |
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Authors: | W R Lü F Lü L Wu J Yang |
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Institution: | 1.China University of Petroleum,Qindao,China |
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Abstract: | In this note, we study the admissible meromorphic solutions for algebraic differential equation fnf' + Pn?1(f) = R(z)eα(z), where Pn?1(f) is a differential polynomial in f of degree ≤ n ? 1 with small function coefficients, R is a non-vanishing small function of f, and α is an entire function. We show that this equation does not possess any meromorphic solution f(z) satisfying N(r, f) = S(r, f) unless Pn?1(f) ≡ 0. Using this result, we generalize a well-known result by Hayman. |
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