Methods for Solving Odd-Degree Inverse Equations, Denau Institute of Entrepreneurship and Pedagogy

Abstract

This article provides an overview of odd-degree recurrent equations, focusing specifically on their fundamental characteristics, mathematical properties, and potential applications. Recurrent equations, especially those of odd degree, have unique symmetric properties and behavior patterns that distinguish them from even-degree counterparts. Despite their importance, odd-degree recurrence equations often receive limited attention in existing literature, necessitating a clearer understanding of their distinctive features. In this paper, we discuss general forms of odd-degree recurrent equations, examine their symmetry and structural properties, and highlight key distinctions from recurrent equations of even degree. Additionally, illustrative examples are presented to clarify theoretical concepts and to demonstrate practical applications of these equations. Through this examination, the article aims to facilitate deeper insights into odd-degree recurrence equations, thereby encouraging further research and application in relevant areas of mathematical and computational science.