Year: 2023
Type: article
Abstract: The purpose of this paper is to show the effects of an equivalence relation on an Omitted-value transformation defined in the unit disk Đð0; 1Þ ¼ f z 2C : j zj < 1g in the form gð zÞ ¼ ῶʄ ῶÀʄ ; ῶ;ʄðĐÞ to generate non-linear complex differential equations for second, third, …, nth orders, and to solve these equations.This work also provides a theorem that shows how to restrict any infinite power series for the holomorphic, univalent function to satisfy the Omitted-value transformation property when ῶ;ʄðĐÞ.
Authors: Shatha S. Alhily, Fatima AH. Mazloum
Institution: Mustansiriyah University
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Funder: Mustansiriyah University
OpenAlex ID: W4380146366