Electron. J. Diff. Equ., Vol. 2013 (2013), No. 41, pp. 1-9.

Oscillation of fixed points of solutions to complex linear differential equations

Abdallah El Farissi, Maamar Benbachir

Abstract:
In this article, we study the relationship between the derivatives of the solutions to the differential equation $f^{(k)}+A_{k-1}f^{(k-1)}+\dots +A_0f=0$ and entire functions of finite order.

Submitted June 13, 2012. Published February 6, 2013.
Math Subject Classifications: 34M10, 30D35.
Key Words: Linear differential equation; entire solution; hyper order; exponent of convergence; hyper exponent of convergence.

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Abdallah El Farissi
Faculty of Sciences and Technology
Bechar University
Bechar, Algeria
email: elfarissi.abdallah@yahoo.fr, elfarissi.a@gmail.com
Maamar Benbachir
Sciences and Technology Faculty
Khemis Miliana University
Ain Defla, Algeria
email: mbenbachir2001@gmail.com, mbenbachir2001@yahoo.fr

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