Some properties of meromorphic solutions to systems of complex differential-difference equations
Haichou Li
Chinese Annals of Mathematics, Series B ›› 2016, Vol. 37 ›› Issue (5) : 719 -728.
Some properties of meromorphic solutions to systems of complex differential-difference equations
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.
Differential-difference equation / Systems of equation / Meromorphic solutions / Proximity function / Counting function
| [1] |
|
| [2] |
Cherry, W. and Ye, Z., Nenvanlinna’s Theory of Value Distribution, Springer Monographs in Mathematics, Springer-Verlag, Berlin, Germany, 2001. |
| [3] |
|
| [4] |
|
| [5] |
|
| [6] |
|
| [7] |
|
| [8] |
|
| [9] |
|
| [10] |
|
| [11] |
|
| [12] |
|
| [13] |
|
| [14] |
|
| [15] |
|
| [16] |
|
| [17] |
|
| [18] |
|
| [19] |
|
| [20] |
|
| [21] |
Korhonen, R., A new clunie type theorem for difference polynomials, J. Differ. Equ. Appl., 17(3), 2011, 387–400. |
| [22] |
|
| [23] |
|
| [24] |
|
| [25] |
|
| [26] |
|
/
| 〈 |
|
〉 |