The effect of the Coefficient Function on the Solution Behavior for the Second-Order Complex Differential Equation

Shatha S.  Alhily; Haneen Abbas  Saleh

doi:10.24996/ijs.2022.63.4.23

Authors

Shatha S. Alhily Department of Mathematics, College of Sciences, Mustansiriyah University, Baghdad, Iraq https://orcid.org/0000-0002-8209-8421
Haneen Abbas Saleh Department of Mathematics, College of Sciences, Mustansiriyah University, Baghdad, Iraq

DOI:

https://doi.org/10.24996/ijs.2022.63.4.23

Keywords:

meromorphic function, odd univalent function, estimate solution

Abstract

The purpose of this research paper is to present the second-order homogeneous complex differential equation , where , which is defined on the certain complex domain depends on solution behavior. In order to demonstrate the relationship between the solution of the second-order of the complex differential equation and its coefficient of function, by studying the solution in certain cases: a meromorphic function, a coefficient of function, and if the solution is considered to be a transformation with another complex solution. In addition, the solution has been provided as a power series with some applications.