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
Keywords: linear differential equations; differential polynomials; meromorphic solutions; iterated order; iterated exponent of convergence of the sequence of distinct zeros
@article{CMUC_2009_50_2_a3,
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/}
}
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/