Izvorni znanstveni članak
On the hyper-order of solutions of nonhomogeneous linear differential equations
Cheriet Nour El Imane Khadidja
; Department of Mathematics, Laboratory of Pure and Applied Mathematics, University of Mostaganem (UMAB), Algeria
Hamani Karima
; Department of Mathematics, Laboratory of Pure and Applied Mathematics, University of Mostaganem (UMAB), Algeria
Sažetak
In this paper, we study the hyper-order of solutions of higher order linear differential equation
\begin{equation*} f^{(k)}+A_{k-1}(z)f^{(k-1)}+\ldots A_{1}(z)f^{\prime }+A_{0}(z)f=H(z),\end{equation*}
where $k\geq 2$ is an integer, $A_{j}\left( z\right) $ $(j=0,1,\ldots,k-1)$ and $H\left( z\right) $ $\left( \not\equiv 0\right) $ are entire functions or polynomials. We improve previous results given by Xu and Cao.
Ključne riječi
Linear dierential equation; Entire function,; Hyper-order
Hrčak ID:
176768
URI
Datum izdavanja:
4.4.2017.
Posjeta: 1.186 *