Some properties of biorthogonal Konhauser polynomials

This thesis consists of six chapters. In the first chapter, the introduction section is located. In the second chapter, preliminary information and some definitions or lemmas that will be used in other parts are given. In addition, there is a theorem for orthogonality. In the third chapter, the biorthogonal polynomials definition and some properties are given. Moreover, in this section, necessary and sufficient conditions are given for the existence of biorthogonal polynomials. In the fourth chapter, Konhauser polynomials were introduced. Graphs of these polynomials for integral representation, some properties, and some specific values are examined. Theorems on bilinear and bilateral generating functions for Konhauser polynomials were also examined. In the fifth chapter, these polynomials are given derivative and non-derivative recurrence relations. In addition to this, Konhauser polynomials are associated with some polynomials. In the last chapter, conclusions and recommendations were given for this thesis.