Geodesic
The fixed points and iterated order of some differential polynomials
Commentationes Mathematicae Universitatis Carolinae, Tome 50 (2009) no. 2, pp. 209-219

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This paper is devoted to considering the iterated order and the fixed points of some differential polynomials generated by solutions of the differential equation $$ f^{^{\prime \prime }}+A_{1}(z) f^{^{\prime }} + A_{0}(z) f=F, $$ where $A_{1}(z)$, $A_{0}(z)$ $(\not\equiv 0)$, $F$ are meromorphic functions of finite iterated $p$-order.
This paper is devoted to considering the iterated order and the fixed points of some differential polynomials generated by solutions of the differential equation $$ f^{^{\prime \prime }}+A_{1}(z) f^{^{\prime }} + A_{0}(z) f=F, $$ where $A_{1}(z)$, $A_{0}(z)$ $(\not\equiv 0)$, $F$ are meromorphic functions of finite iterated $p$-order.
Classification : 30D35, 34M10
Keywords: linear differential equations; differential polynomials; meromorphic solutions; iterated order; iterated exponent of convergence of the sequence of distinct zeros 
Belaidi, Benharrat. The fixed points and iterated order of some differential polynomials. Commentationes Mathematicae Universitatis Carolinae, Tome 50 (2009) no. 2, pp. 209-219. http://geodesic.mathdoc.fr/item/CMUC_2009_50_2_a3/
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     author = {Belaidi, Benharrat},
     title = {The fixed points and iterated order of some differential polynomials},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {209--219},
     year = {2009},
     volume = {50},
     number = {2},
     mrnumber = {2537832},
     zbl = {1212.34278},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_2009_50_2_a3/}
}
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