Growth of solutions to complex linear differential equations in which the coefficients are analytic functions except at a finite singular point

	Growth of solutions to complex linear differential equations in which the coefficients are analytic functions except at a finite singular point
International Journal of Nonlinear Analysis and Applications
مقاله 36، دوره 14، شماره 1، فروردین 2023، صفحه 473-483 اصل مقاله (418.6 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.25063.2904
نویسندگان
Abdelkader Dahmani؛ Benharrat Belaidi^*
Department of Mathematics, Laboratory of Pure and Applied Mathematics, University of Mostaganem (UMAB), B. P. 227 Mostaganem, Algeria
تاریخ دریافت: 19 آبان 1400، تاریخ پذیرش: 02 شهریور 1401
چکیده
In this paper, we study the growth of solutions to complex higher order linear differential equations, where the coefficients are analytic in the closed complex plane except at a finite singular point. We obtain some results on the [p,q]-order and on the lower [p,q]-order which improve and extend those of Long and Zeng.
کلیدواژه‌ها
Linear differential equations؛ Growth of solutions؛ Finite singular point؛ Nevanlinna theory

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