Thesis Type: Postgraduate
Institution Of The Thesis: Gazi University, Fen Bilimleri Enstitüsü, Turkey
Approval Date: 2013
Thesis Language: Turkish
Student: GÜLŞEN ORUCOVA
Supervisor: Esra Erkus-Duman
Open Archive Collection: AVESIS Open Access Collection
Abstract:In this study, d-orthogonal polynomials were investigated. First, preliminaries and some concepts that will be used, definitions and lemmas regarding the concept of d-orthogonality were given. After that d-orthogonality of Humbert polynomials was shown and d-orthogonalities of their special cases were examined. Also d-orthogonality of Jacobi-type polynomials was shown and recurrence relation was obtained. In addition generalized d-orthogonal polynomials were given and their special cases were investigated. Lastly d-orthogonality of Hermite-type polynomials was shown, d-orthogonalities of Charlier, Gould-Hopper and Laguerre-type polynomials were investigated.