Properties of some generalized bihyperbolic numbers and polynomials

This thesis consists of four chapters. In the first chapter, a detailed literature review related to the thesis topic has been conducted, including fundamental definitions and theorems related to the subject. The second chapter, the definitions of bihyperbolic Padovan, Pell-Padovan, Jacobsthal-Padovan and Padovan-p numbers are given. In addition, Binet-like formulas, generator functions and some special sums of the sequences of these numbers are also presented in this section. In the third chapter, information about bivariate bihyperbolic Fibonacci-p and Lucas-p polynomials is given. In addition, the generating functions of the polynomials defined in this section and their relationships with each other were also obtained. In the fourth chapter, the conclusion regarding the contribution of the studies carried out in the thesis to the literature is given.