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Algeria Mostaganem
Year
2023
Volume
33
Issue
3
Pages
416-433
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Section Mathematics
Title On the growth of solutions of complex linear differential equations with analytic coefficients in $\overline{\mathbb{C}}\backslash\{z_{0}\}$ of finite logarithmic order
Author(-s) Dahmani A.a, Belaidi B.a
Affiliations University of Mostaganema
Abstract In this article, we study the growth of solutions of homogeneous and non-homogeneous complex linear differential equations where the coefficients are analytic functions in the extended complex plane except a finite singular point with finite logarithmic order. We extend some previous results obtained very recently by Fettouch and Hamouda.
Keywords linear differential equation, analytic function, singular point, logarithmic order, logarithmic type
UDC 517.9
MSC 30D35, 34M10
DOI 10.35634/vm230303
Received 3 April 2023
Language English
Citation Dahmani A., Belaidi B. On the growth of solutions of complex linear differential equations with analytic coefficients in $\overline{\mathbb{C}}\backslash\{z_{0}\}$ of finite logarithmic order, Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2023, vol. 33, issue 3, pp. 416-433.
References
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