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

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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