Complex kernel of ZZ integral transform and its applications in ordinary differential equations

This master thesis follows the following construction: In the first section, an introduction to integral transforms with a literature review on numerous transform areas is given. A review of differential equations with their benefits in the scientific world is presented. In the second section, basic definitions and properties that will enrich the work, specifically on the ZZ transform that would be the seed for the entirety of the work are discussed. The third section discusses the basic properties of proposed integral transform (SEA) and its applications to the primary functions. Some of these properties are supported by practical examples for clarification. Finally, the fourth section includes the application of the SEA transformation to miscellaneous subjects from different fields of science.