Some properties of generalized bivariate bihyperbolic polynomials

Abstract

Understanding the properties and applications of bihyperbolic polynomials sheds light on many mathematical problems. For this reason, bihyperbolic polynomials can play an important role in various fields of mathematics. Therefore, there has been an increase in studies on bihyperbolic polynomials recently. On the other hand, bivariate polynomials, used to represent relationships between two variables, can appear in a variety of forms and are used in many scientific disciplines. In this study, some generalized bivariate bihyperbolic polynomials will be discussed. First, when defining these bihyperbolic polynomials, definitions, theorems and properties existing in the literature will be utilized. After new definitions are obtained, the generaitng functions of generalized bivariate bihyperbolic polynomials will be obtained in different methods. Subsequently, properties related to these polynomials will be discussed. All these results are expected to further solidify the position of generalized bivariate bihyperbolic polynomials in the mathematical literature and contribute to future research in this field.