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- W4213329454 abstract "Abstract We consider meromorphic solutions of functional-differential equations [ f^{(k)}(z)=a(f^{n}circ g)(z)+bf(z)+c, ] where $n,,~k$ are two positive integers. Firstly, using an elementary method, we describe the forms of $f$ and $g$ when $f$ is rational and $a(neq 0)$ , $b$ , $c$ are constants. In addition, by employing Nevanlinna theory, we show that $g$ must be linear when $f$ is transcendental and $a(neq 0)$ , $b$ , $c$ are polynomials in $mathbb {C}$ ." @default.
- W4213329454 created "2022-02-24" @default.
- W4213329454 creator A5055459073 @default.
- W4213329454 date "2022-02-10" @default.
- W4213329454 modified "2023-09-27" @default.
- W4213329454 title "On meromorphic solutions of functional-differential equations" @default.
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- W4213329454 doi "https://doi.org/10.1017/s0013091522000062" @default.
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