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In this article, we consider properties of transcendental meromorphic solutions of the complex differential-difference equation $$ P_n(z)f^{(n)}(z+\eta_n)+\cdots+P_1(z)f'(z+\eta_1)+P_0(z)f(z+\eta_0)=0, $$ and its non-homogeneous equation. Our results extend earlier results by Liu et al.~\cite{Liu3}.
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참고문헌 (18)
참고문헌 신청
Y.-M. Chiang / 2008 / On the Nevanlinna characteristic of f(z+) and dierence equations in the complex plane / Ramanujan J 16(1):105~129
Z. X. Chen / 2014 / Complex Dierences and Dierence Equations / Science Press
Z.-X. Chen / 2014 / On entire solutions of certain type of dierential-dierence equations / Taiwanese J. Math 18(3):677~685
G. G. Gundersen / 1988 / Estimates for the logarithmic derivative of a meromorphic function, plus similar estimates / J. London Math. Soc. (2) 37(1):88~104
G. G. Gundersen / 1988 / Finite order solutions of second order linear dierential equations / Trans. Amer. Math. Soc 305(1):415~429
Z. X. Chen / 2014 / Complex Dierences and Dierence Equations / Science Press
Z.-X. Chen / 2014 / On entire solutions of certain type of dierential-dierence equations / Taiwanese J. Math 18(3):677~685
G. G. Gundersen / 1988 / Estimates for the logarithmic derivative of a meromorphic function, plus similar estimates / J. London Math. Soc. (2) 37(1):88~104
G. G. Gundersen / 1988 / Finite order solutions of second order linear dierential equations / Trans. Amer. Math. Soc 305(1):415~429
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