Geodesic
Oscillation of higher-order linear differential equations with entire coefficients
Electronic Journal of Differential Equations, Tome 2010 (2010).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: This article is devoted to studying the solutions to the differential equation $$ f^{(k)}+A_{k-1}(z)f^{(k-1)}+\dots +A_0(z)f=0,\quad k\ge 2, $$ where coefficients $A_j(z)$ are entire functions of integer order. We obtain estimates on the orders and the hyper orders of the solutions to the above equation.
Classification : 30D35, 34M10
Keywords: linear differential equation, order, hyper order 
@article{EJDE_2010__2010__a102,
     author = {Huang, Zhi Gang and Sun, Gui Rong},
     title = {Oscillation of higher-order linear differential equations with entire coefficients},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2010},
     year = {2010},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2010__2010__a102/}
}
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Huang, Zhi Gang; Sun, Gui Rong. Oscillation of higher-order linear differential equations with entire coefficients. Electronic Journal of Differential Equations, Tome 2010 (2010). http://geodesic.mathdoc.fr/item/EJDE_2010__2010__a102/