Master'sOpen Access

d-ortogonal polinomlar

2013
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Advisor: Doç. Dr. Esra Erkuş Duman

Abstract (EN)

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.

Author

Dr. Gülşen Orucova

How to Cite

Gülşen Orucova (Master Thesis). d-ortogonal polinomlar, 2013, Gazi University.

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