A New Class Of Generatıng Functıons For Some Polynomıals


Thesis Type: Postgraduate

Institution Of The Thesis: Gazi University, Fen Bilimleri Enstitüsü, MATEMATİK ANABİLİM DALI, Turkey

Approval Date: 2019

Thesis Language: Turkish

Student: ÖZLEM AKYEL

Supervisor: Esra Erkus-Duman

Open Archive Collection: AVESIS Open Access Collection

Abstract:

In this thesis, the polynomials ( ) and the Dilcher polynomials ( ) are mainly investigated. We first recall basic definitions and lemmas used in this thesis, later we give some properties of the well- known polynomials in the literature, which are connected with these polynomials. After giving definitions of the ( ) and ( ), we obtain their generating functions, bilinear and bilateral generating functions and some special cases. Finally, we also find some new recurrence relations including and not including derivatives. Science