Thesis Type: Doctorate
Institution Of The Thesis: Gazi University, Fen Bilimleri Enstitüsü, MATEMATİK ANABİLİM DALI, Turkey
Approval Date: 2015
Thesis Language: Turkish
Student: Fatma Yeşil
Supervisor: NAİM TUĞLU
Open Archive Collection: AVESIS Open Access Collection
Abstract:In this study, generalizing usual Riordan concept, qanalogue of Riordan array is obtained. Firstly in line with this target, operations of İq and İ1=q are defined. Using these operations, new powers for functions are delivered. Considering these power and qanalogue of composition, new matrices are defined. Using these matrices, qanalogue of Fundamental Theorem of Riordan Array is obtained. Then we analyse that what kind of matrix will be after the matrix product of qRiordan matrices. In the last part of study, it is showed that qPascal matrix and its inverse matrix abided by this rule. Through of the thesis, it is observed that when q ! 1, all of qconcepts turn to usual concepts.