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 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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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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     author = {Samir Cherief and Saada Hamouda},
     title = {Growth of {Solutions} of a {Class} of {Linear} {Differential} {Equations} {Near} a {Singular} {Point}},
     journal = {Kragujevac Journal of Mathematics},
     pages = {187 },
     year = {2023},
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     number = {2},
     language = {en},
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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/