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

Issue

Vol. 19 No. 1 (2023)

Section

Articles