Thesis Type: Postgraduate
Institution Of The Thesis: Gazi University, Fen Bilimleri Enstitüsü, Turkey
Approval Date: 2015
Thesis Language: Turkish
Student: ESRA GÜLDOĞAN
Supervisor: Esra Erkus-Duman
Open Archive Collection: AVESIS Open Access Collection
Abstract:In this thesis, Bernoulli, Euler and Genocchi polynomials are investigated. First of all, some known definitions, lemmas and theorems used in this study are given. Generalized Euler, generalized Bernoulli polynomials and a unification polynomial of Bernoulli, Euler and Genocchi polynomials are introduced and some properties of them are derived. Later, we obtain some theorems including multilinear and multilateral generating functions for these polynomials. Finally, we discuss some special cases and get new recurrence relations for these polynomials.