GENELLEŞMİŞ CHEBYSHEV POLİNOMLARI

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Thesis Type: Postgraduate

Institution Of The Thesis: Ataturk University, Fen Bilimleri Enstitüsü, Matematik Anabilim Dalı, Turkey

Approval Date: 2016

Thesis Language: Turkish

Student: BETÜL ŞAKİROĞLU

Principal Supervisor (For Co-Supervisor Theses): İnci GÜLTEKİN

Open Archive Collection: AVESIS Open Access Collection

Abstract:

In this thesis, firstly the generalized Chebyshev Polynomials V_(n,m) (x) and Ω_(n,m) (x) have been obtained via matrices. Later, new recurrence relation has been defined for the derivatives of these polynomials and created tables with the help of combinatorial forms described for derivative polymials of this polynomial. Finally, examples showing how to write derivative polynomials easily have been given.