Abstract
Applying Nevanlinna theory of the value distribution of meromorphic functions, the author studies some properties of Nevanlinna counting function and proximity function of meromorphic solutions to a type of systems of complex differential-difference equations. Specifically speaking, the estimates about counting function and proximity function of meromorphic solutions to systems of complex differential-difference equations can be given.
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Li, H. Some properties of meromorphic solutions to systems of complex differential-difference equations. Chin. Ann. Math. Ser. B 37, 719–728 (2016). https://doi.org/10.1007/s11401-016-0978-0
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DOI: https://doi.org/10.1007/s11401-016-0978-0
Keywords
- Differential-difference equation
- Systems of equation
- Meromorphic solutions
- Proximity function
- Counting function