Geodesic
Growth of Solutions of a Class of Linear Differential Equations Near a Singular Point
Kragujevac Journal of Mathematics, Tome 47 (2023) no. 2, p. 187

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

In this paper, we investigate the growth of solutions of the differential equation \[ f''+A(z)\expeft\{\frac{a}{(z_{0}-z)^n}\right\}f'+B(z)\expeft\{\frac{b}{(z_{0}-z)^n}\right\}f=0, \] where $A(z)$, $B(z)$ are analytic functions in the closed complex plane except at $z_{0}$ and $a,b$ are complex constants such that $ab\neq 0$ and $a=cb$, $c>1$. Another case has been studied for higher order linear differential equations with analytic coefficients having the same order near a finite singular point.
Classification : 34M10, 30D35
Keywords: linear differential equations, growth of solutions, finite singular point 
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Samir Cherief; Saada Hamouda. Growth of Solutions of a Class of Linear Differential Equations Near a Singular Point. Kragujevac Journal of Mathematics, Tome 47 (2023) no. 2, p. 187 . http://geodesic.mathdoc.fr/item/KJM_2023_47_2_a1/