Fast Growth of the Logarithmic Derivative With Applications to Complex Differential Equations

Mohamed  Abdelhak Kara; Benharrat  Belaïdi

doi:10.5644/SJM.19.01.05

Fast Growth of the Logarithmic Derivative With Applications to Complex Differential Equations

Authors

Mohamed Abdelhak Kara Department of Mathematics Laboratory of Pure and Applied Mathematics University of Mostaganem (UMAB) B. P. 227 Mostaganem
Benharrat Belaïdi Department of Mathematics Laboratory of Pure and Applied Mathematics University of Mostaganem (UMAB) B. P. 227 Mostaganem

DOI:

https://doi.org/10.5644/SJM.19.01.05

Keywords:

meromorphic function, ϕ-order, ϕ-convergence exponent, logarithmic derivative, complex differential equation

Abstract

In this paper, we give some estimates on the growth of the logarithmic derivative of meromorphic functions by considering the concept of $\varphi$-order. We discuss their relationship with the growth of solutions of certain complex differential equations.

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Published

17.01.2024

How to Cite

Abdelhak Kara, M. ., & Belaïdi, B. . (2024). Fast Growth of the Logarithmic Derivative With Applications to Complex Differential Equations. Sarajevo Journal of Mathematics, 19(1), 63–77. https://doi.org/10.5644/SJM.19.01.05