Geodesic
Oscillation of meromorphic solutions to linear differential equations with coefficients of \([p,q]\)-order
Electronic journal of differential equations, Tome 2014 (2014)
We study the relationship between "small functions" and the derivative of solutions to the higher order linear differential equation

$ f^{(k)}+A_{k-1}f^{(k-1)}+\dots+A_0f=0,\quad (k\geq 2) $

Here $A_j(z)\; (j=0,1,\dots,k-1)$ are entire functions or meromorphic functions of [p,q]-order.
Classification : 34M10, 30D35
Keywords: linear differential equation, oscillation, small function, [p 
@article{EJDE_2014__2014__a9,
     author = {Xu,  Hong-Yan and Tu,  Jin},
     title = {Oscillation of meromorphic solutions to linear differential equations with coefficients of \([p,q]\)-order},
     journal = {Electronic journal of differential equations},
     year = {2014},
     volume = {2014},
     zbl = {1294.34081},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2014__2014__a9/}
}
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Xu,  Hong-Yan; Tu,  Jin. Oscillation of meromorphic solutions to linear differential equations with coefficients of \([p,q]\)-order. Electronic journal of differential equations, Tome 2014 (2014). http://geodesic.mathdoc.fr/item/EJDE_2014__2014__a9/