Geodesic
Orders of solutions of an \(n\)-th order linear differential equation with entire coefficients
Electronic journal of differential equations, Tome 2001 (2001)
We study the solutions of the differential equation

$ f^{(n)}+A_{n-1}(z) f^{(n-1) }+\dots+A_{1}(z)f'+A_{0}(z) f=0, $

where the coefficients are entire functions. We find conditions on the coefficients so that every solution that is not identically zero has infinite order.
Classification : 30D35, 34M10, 34C10, 34C11
Keywords: linear differential equations, entire functions, order of growth 
@article{EJDE_2001__2001__a72,
     author = {Bela{\"\i}de,  Benharrat and Hamouda,  Saada},
     title = {Orders of solutions of an \(n\)-th order linear differential equation with entire coefficients},
     journal = {Electronic journal of differential equations},
     year = {2001},
     volume = {2001},
     zbl = {1039.30012},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2001__2001__a72/}
}
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%A Hamouda,  Saada
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Belaïde,  Benharrat; Hamouda,  Saada. Orders of solutions of an \(n\)-th order linear differential equation with entire coefficients. Electronic journal of differential equations, Tome 2001 (2001). http://geodesic.mathdoc.fr/item/EJDE_2001__2001__a72/