Entire solutions of certain type of differential equations II |
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| Authors: | Ping Li |
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| Affiliation: | Department of Mathematics, Univ. of Sci. & Tech. of China, Hefei, Anhui, 230026, PR China |
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| Abstract: | We analyze the transcendental entire solutions of the following type of nonlinear differential equations: fn(z)+P(f)=p1eα1z+p2eα2z in the complex plane, where p1, p2 and α1, α2 are nonzero constants, and P(f) denotes a differential polynomial in f of degree at most n−1 with small functions of f as the coefficients. |
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| Keywords: | Differential equation Transcendental entire solution Nevanlinna theory |
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